DOI10.1007/978-1-4419-0160-6zbMath1220.20047OpenAlexW4237442181WikidataQ58842657 ScholiaQ58842657MaRDI QIDQ1031556
Pedro A. García Sánchez, José Carlos Rosales
Publication date: 29 October 2009
Published in: Developments in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4419-0160-6
Factorization invariants of the additive structure of exponential Puiseux semirings ⋮
On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸5 ⋮
A Frobenius problem suggested by prime \(k\)-tuplets ⋮
Triangular numerical semigroups ⋮
Enumerating numerical sets associated to a numerical semigroup ⋮
The complexity of a numerical semigroup ⋮
On the seeds and the great-grandchildren of a numerical semigroup ⋮
When are trace ideals finite? ⋮
Hairpin completions and reductions: semilinearity properties ⋮
Unnamed Item ⋮
Vanishing of (co)homology of Burch and related submodules ⋮
Affine semigroups of maximal projective dimension ⋮
Eliahou number, Wilf function and concentration of a numerical semigroup ⋮
Numerical semigroups with unique Apéry expansions ⋮
AG codes from \(\mathbb{F}_{q^7}\)-rational points of the GK maximal curve ⋮
Numerical semigroups, polyhedra, and posets. III: Minimal presentations and face dimension ⋮
A generalization of a theorem about gapsets with depth at most 3 ⋮
On sets related to integer partitions with quasi-required elements and disallowed elements ⋮
Factorization in monoids by stratification of atoms and the Elliott problem ⋮
Some properties of affine \({\mathcal{C}}\)-semigroups ⋮
Apéry sets and the ideal class monoid of a numerical semigroup ⋮
The Frobenius problem for numerical semigroups generated by sequences of the form \(ca^n-d\) ⋮
Universally free numerical semigroups ⋮
WHEN IS A NUMERICAL SEMIGROUP A QUOTIENT? ⋮
Inverse polynomials of numerical semigroup rings ⋮
Bounds for invariants of numerical semigroups and Wilf's conjecture ⋮
On Kummer extensions with one place at infinity ⋮
The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number ⋮
Resource convertibility and ordered commutative monoids ⋮
Counting the ideals with given genus of a numerical semigroup ⋮
On integer partitions corresponding to numerical semigroups ⋮
The set of Arf numerical semigroups with given Frobenius number ⋮
A note on half of some MED semigroups of maximal or almost maximal length ⋮
Complement-Finite Ideals ⋮
On a generalization of the Deligne-Lusztig curve of Suzuki type and application to AG codes ⋮
Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio ⋮
Affine semigroups of maximal projective dimension. II ⋮
Unnamed Item ⋮
The computation of factorization invariants for affine semigroups ⋮
Unnamed Item ⋮
Two-Extension of a Numerical Semigroup with Embedding Dimension Two ⋮
Constructing 2 × 2 Bricks from Unitary Numerical Semigroups ⋮
Young tableaux and Arf partitions ⋮
Commutative algebra and the linear diophantine problem of Frobenius ⋮
Augmented Hilbert series of numerical semigroups ⋮
Cyclotomic coefficients: gaps and jumps ⋮
The doubles of one half of a numerical semigroup. ⋮
Star Operations on Numerical Semigroups ⋮
Atomicity and density of Puiseux monoids ⋮
Density of numerical sets associated to a numerical semigroup ⋮
Arithmetic Congruence Monoids: A Survey ⋮
The Frobenius problem for a class of numerical semigroups ⋮
numericalsgps, a GAP package for numerical semigroups ⋮
On the atomic structure of Puiseux monoids ⋮
Numerical semigroups without consecutive small elements ⋮
On row-factorization relations of certain numerical semigroups ⋮
Factorizations of the same length in numerical semigroups ⋮
Counting the numerical semigroups with a specific special gap ⋮
Almost symmetric numerical semigroups with high type ⋮
Numerical semigroups, polyhedra, and posets I: the group cone ⋮
Minimal genus of a multiple and Frobenius number of a quotient of a numerical semigroup ⋮
Unnamed Item ⋮
A sequence of quasipolynomials arising from random numerical semigroups ⋮
Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number ⋮
THE NUMBER OF ADDENDS IN THE DECOMPOSITION OF AN ELEMENT OF A NUMERICAL MONOID INTO ATOMS ⋮
Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups ⋮
On Symmetric But Not Cyclotomic Numerical Semigroups ⋮
On pseudo symmetric monomial curves ⋮
Densities of maximal embedding dimension numerical semigroups ⋮
Counting Numerical Semigroups ⋮
What Happens When the Division Algorithm “Almost” Works ⋮
FACTORIZATION LENGTH DISTRIBUTION FOR AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION FOR NUMERICAL SEMIGROUPS WITH ARBITRARILY MANY GENERATORS ⋮
Supersymmetric gaps of a numerical semigroup with two generators ⋮
CRITICAL BINOMIAL IDEALS OF NORTHCOTT TYPE ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Almost symmetric Arf partitions ⋮
Modularly equidistant numerical semigroups ⋮
On isolated gaps in numerical semigroups ⋮
Arf numerical semigroups with multiplicity $11$ and $13$ ⋮
Parametrizing Arf numerical semigroups ⋮
Frobenius Numbers and Automatic Sequences ⋮
A problem of integer partitions and numerical semigroups ⋮
Efficient generation of ideals in core subalgebras of the polynomial ring $k[t$ over a field $k$] ⋮
Counting Numerical Semigroups by Genus and Even Gaps via Kunz-Coordinate Vectors ⋮
Patterns on the Numerical Duplication by Their Admissibility Degree ⋮
Conjecture of Wilf: A Survey ⋮
Generic Toric Ideals and Row-Factorization Matrices in Numerical Semigroups ⋮
Irreducibility and Factorizations in Monoid Rings ⋮
On the Molecules of Numerical Semigroups, Puiseux Monoids, and Puiseux Algebras ⋮
Arf Numerical Semigroups with Multiplicity 9 and 10 ⋮
The Number of Star Operations on Numerical Semigroups and on Related Integral Domains ⋮
Structure of Semigroup Rings (Survey) ⋮
REALISABLE SETS OF CATENARY DEGREES OF NUMERICAL MONOIDS ⋮
On parametrized families of numerical semigroups ⋮
Minimal presentations of shifted numerical monoids ⋮
Parametrizing numerical semigroups with multiplicity up to 5 ⋮
Numerical Semigroups and the Game of Sylver Coinage ⋮
Elasticity in Apéry Sets ⋮
Factorization invariants in numerical monoids ⋮
On dynamic algorithms for factorization invariants in numerical monoids ⋮
The arithmetic extensions of a numerical semigroup ⋮
The enumeration of the set of atomic numerical semigroups with fixed Frobenius number ⋮
On the local k-elasticities of Puiseux monoids ⋮
A combinatorial problem and numerical semigroups ⋮
On Free Numerical Semigroups and the Construction of Minimal Telescopic Sequences ⋮
On the geometry of strongly flat semigroups and their generalizations ⋮
Unnamed Item ⋮
Isolated factorizations and their applications in simplicial affine semigroups ⋮
On a family of saturated numerical semigroups with multiplicity four ⋮
Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮
Arf numerical semigroups ⋮
Wilf’s conjecture in fixed multiplicity ⋮
On the atomic structure of exponential Puiseux monoids and semirings ⋮
The system of sets of lengths and the elasticity of submonoids of a finite-rank free commutative monoid ⋮
Computation of numerical semigroups by means of seeds ⋮
Almost canonical ideals and GAS numerical semigroups ⋮
Embedding the set of nondivisorial ideals of a numerical semigroup into ℕn ⋮
Computing denumerants in numerical 3-semigroups ⋮
Numerical semigroups generated by concatenation of arithmetic sequences ⋮
Numerical semigroups bounded by a cyclic monoid ⋮
Algorithms for generalized numerical semigroups ⋮
Unnamed Item ⋮
Parity numerical semigroups ⋮
Wilf’s conjecture for numerical semigroups with large second generator ⋮
AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT ⋮
Approximating length-based invariants in atomic Puiseux monoids ⋮
Wilf's conjecture for numerical semigroups ⋮
Unnamed Item ⋮
On numerical semigroups with embedding dimension three ⋮
Distances between Factorizations in the Chicken McNugget Monoid ⋮
Numerical semigroups of small and large type ⋮
Factorization invariants of Puiseux monoids generated by geometric sequences ⋮
Semigroups with fixed multiplicity and embedding dimension ⋮
Numerical semigroup algebras ⋮
Multiplicative factorization in numerical semigroups ⋮
Numerical semigroups with embedding dimension three and minimal catenary degree ⋮
Star operations on Kunz domains ⋮
Decidability of Cutpoint Isolation for Probabilistic Finite Automata on Letter-Bounded Inputs. ⋮
IRREDUCIBILITY IN THE SET OF NUMERICAL SEMIGROUPS WITH FIXED MULTIPLICITY ⋮
Perfect numerical semigroups ⋮
Logical Theory of the Additive Monoid of Subsets of Natural Integers ⋮
On a special case of Wilf’s conjecture ⋮
Almost symmetric numerical semigroups with given Frobenius number and type ⋮
Structure of some numerical semigroup rings ⋮
Minimal varieties of associative algebras and transcendental series ⋮
Positioned numerical semigroups ⋮
On almost-symmetry in generalized numerical semigroups ⋮
On numerical semigroups with at most 12 left elements ⋮
COUNTING NUMERICAL SEMIGROUPS WITH SHORT GENERATING FUNCTIONS ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Unnamed Item ⋮
Finite factorization properties in commutative monoid rings with zero divisors ⋮
Numerical semigroups in a problem about economic incentives for consumers ⋮
Numerical semigroups bounded by the translation of a plane monoid ⋮
On the enumeration of the set of saturated numerical semigroups with fixed Frobenius number. ⋮
Numerical semigroups closed under addition of their divisors ⋮
On the class semigroup of a numerical semigroup ⋮
Algorithms and basic asymptotics for generalized numerical semigroups in \(\mathbb N^d\) ⋮
Denumerants of 3-numerical semigroups ⋮
An algorithm to compute the primitive elements of an embedding dimension three numerical semigroup. ⋮
The numerical semigroup of the integers which are bounded by a submonoid of \(\mathbb N^2\). ⋮
Extensions of tangent cones of monomial curves ⋮
Torsion and tensor products over domains and specializations to semigroup rings ⋮
On the type of an almost Gorenstein monomial curve ⋮
Random numerical semigroups and a simplicial complex of irreducible semigroups ⋮
Increasing positive monoids of ordered fields are FF-monoids ⋮
Bracelet monoids and numerical semigroups ⋮
The structure of the minimal free resolution of semigroup rings obtained by gluing ⋮
A variation of gluing of numerical semigroups ⋮
Patterns of ideals of numerical semigroups ⋮
Bases of subalgebras of \(\mathbb{K}[\![ x \!]\) and \(\mathbb{K}[x]\)] ⋮
An extension of Wilf's conjecture to affine semigroups ⋮
Chomp on numerical semigroups ⋮
The second Feng-Rao number for codes coming from telescopic semigroups ⋮
On the saturated numerical semigroups ⋮
On a transport problem and monoids of non-negative integers ⋮
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. ⋮
Constructing the set of complete intersection numerical semigroups with a given Frobenius number. ⋮
The numerical duplication of a numerical semigroup. ⋮
On the number of numerical semigroups \(\langle a,b\rangle\) of prime power genus. ⋮
On disjoint unions of finitely many copies of the free monogenic semigroup. ⋮
Irreducible numerical semigroups with multiplicity three and four. ⋮
On the Möbius function of the locally finite poset associated with a numerical semigroup. ⋮
Generalization of the Lee-O'Sullivan list decoding for one-point AG codes ⋮
Computation of delta sets of numerical monoids. ⋮
A characterization of arithmetical invariants by the monoid of relations. ⋮
Bounding the number of points on a curve using a generalization of Weierstrass semigroups ⋮
The set of numerical semigroups of a given genus. ⋮
Delta sets for nonsymmetric numerical semigroups with embedding dimension three ⋮
The ordinarization transform of a numerical semigroup and semigroups with a large number of intervals. ⋮
Torsion and divisibility in finitely generated commutative semirings ⋮
On the computation of the Apéry set of numerical monoids and affine semigroups ⋮
Numerical semigroups with large embedding dimension satisfy Wilf's conjecture. ⋮
Algorithms for curves with one place at infinity ⋮
The semigroup of combinatorial configurations ⋮
Symmetries on almost symmetric numerical semigroups. ⋮
Modular translations of numerical semigroups. ⋮
Frobenius vectors, Hilbert series and gluings of affine semigroups. ⋮
A mathematical programming approach to the computation of the omega invariant of a numerical semigroup ⋮
On differential operators of numerical semigroup rings ⋮
An algorithm to compute \(\omega\)-primality in a numerical monoid. ⋮
Maximal denumerant of a numerical semigroup with embedding dimension less than four. ⋮
On the teaching complexity of linear sets ⋮
Counting numerical semigroups by genus and some cases of a question of Wilf. ⋮
Numerical semigroups whose fractions are of maximal embedding dimension. ⋮
The Frobenius problem for numerical semigroups ⋮
Fibonacci-like growth of numerical semigroups of a given genus. ⋮
An example of the Weierstrass semigroup of a pointed curve on \(K3\) surfaces ⋮
On the Apéry sets of monomial curves ⋮
The Frobenius number for sequences of triangular and tetrahedral numbers ⋮
The catenary degree of Krull monoids. I ⋮
Systems of sets of lengths of Puiseux monoids ⋮
Factorizations in numerical semigroup algebras ⋮
On the enumeration of the set of numerical semigroups with fixed Frobenius number. ⋮
Sets of positive integers closed under product and the number of decimal digits ⋮
Characterizations of numerical semigroup complements via Apéry sets ⋮
Dilatations of numerical semigroups ⋮
Near-misses in Wilf's conjecture ⋮
On arithmetical numerical monoids with some generators omitted ⋮
A non-vanishing property for the signature of a path ⋮
Homogeneous numerical semigroups ⋮
Canonical trace ideal and residue for numerical semigroup rings ⋮
Quotients of perfect numerical semigroups ⋮
List decoding algorithm based on voting in Gröbner bases for general one-point AG codes ⋮
Apéry sets of shifted numerical monoids ⋮
On the deviation and the type of certain local Cohen-Macaulay rings and numerical semigroups ⋮
Numerical semigroups in a problem about cost-effective transport ⋮
Corrigendum to: ``Super-multiplicativity and a lower bound for the decay of the signature of a path of finite length ⋮ Minimal relations and the Diophantine Frobenius problem in embedding dimension three ⋮ An improved algorithm to compute the \(\omega\)-primality ⋮ Frobenius restricted varieties in numerical semigroups ⋮ Automaton semigroups: new constructions results and examples of non-automaton semigroups ⋮ Noether resolutions in dimension 2 ⋮ Genus of numerical semigroups generated by three elements. ⋮ \(\omega \)-primality in arithmetic Leamer monoids ⋮ Numerical semigroups and Kunz polytopes ⋮ The graphic structure of a numerical semigroup ⋮ Gapsets and numerical semigroups ⋮ Star operations on numerical semigroups: antichains and explicit results ⋮ Space curves and solitons of the KP hierarchy. I: The \(l\)-th generalized KdV hierarchy ⋮ Atomicity and boundedness of monotone Puiseux monoids ⋮ Nearly Gorenstein vs almost Gorenstein affine monomial curves ⋮ Dense numerical semigroups ⋮ A formula for the conductor of a semimodule of a numerical semigroup with two generators ⋮ Almost-positioned numerical semigroups ⋮ Graded algebras with cyclotomic Hilbert series ⋮ Puiseux monoids and transfer homomorphisms ⋮ On the second Feng-Rao distance of algebraic geometry codes related to Arf semigroups ⋮ On automorphism groups of cyclotomic function fields over finite fields ⋮ On the enumeration of the set of saturated numerical semigroups of a given genus. ⋮ Classification of numerical 3-semigroups by means of L-shapes. ⋮ On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps ⋮ Weierstrass sets on finite graphs ⋮ Frobenius R-variety of the numerical semigroups contained in a given one ⋮ Delta sets for symmetric numerical semigroups with embedding dimension three ⋮ Integral points in rational polygons: a numerical semigroup approach ⋮ Balanced numerical semigroups ⋮ Cyclotomic exponent sequences of numerical semigroups ⋮ The Frobenius problem for numerical semigroups with embedding dimension equal to three ⋮ When the associated graded ring of a semigroup ring is complete intersection ⋮ Hilbert depth of graded modules over polynomial rings in two variables ⋮ The proportion of Weierstrass semigroups ⋮ On pure \(\kappa\)-sparse gapsets ⋮ Numerical semigroups generated by quadratic sequences ⋮ One half of almost symmetric numerical semigroups ⋮ Star operations on numerical semigroups: the multiplicity 3 case. ⋮ Equidistribution of numerical semigroup gaps modulo \(m\) ⋮ The corner element of generalized numerical semigroups ⋮ Characterizing affine \(\mathcal{C}\)-semigroups ⋮ The Frobenius problem for Mersenne numerical semigroups ⋮ On Sylvester sums of compound sequence semigroup complements ⋮ Almost Gorenstein monomial curves in affine four space ⋮ THE CATENARY AND TAME DEGREES ON A NUMERICAL MONOID ARE EVENTUALLY PERIODIC ⋮ Counting numerical semigroups by genus and even gaps ⋮ Ulrich ideals and 2-AGL rings ⋮ On some families of subsemigroups of a numerical semigroup ⋮ Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic ⋮ Cyclotomic numerical semigroup polynomials with at most two irreducible factors ⋮ Coefficient rings of numerical semigroup algebras ⋮ Infinite sequences of almost symmetric non-Weierstrass numerical semigroups ⋮ On reducible non-Weierstrass semigroups ⋮ A graph-theoretic approach to Wilf's conjecture ⋮ New Eliahou semigroups and verification of the Wilf conjecture for genus up to 65 ⋮ Almost symmetric numerical semigroups ⋮ Numerical semigroups of Szemerédi type ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ Positioned numerical semigroups with small gender ⋮ The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one ⋮ The Frobenius problem for generalized repunit numerical semigroups ⋮ Irreducibility of Arf numerical semigroups ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ The Frobenius problem for numerical semigroups with multiplicity four. ⋮ The Gelfand-Kirillov dimension of Hecke-Kiselman algebras ⋮ One-generated semirings and additive divisibility ⋮ On a certain characterisation of the semigroup of positive natural numbers with multiplication ⋮ Length density and numerical semigroups ⋮ Genera of numerical semigroups and polynomial identities for degrees of syzygies ⋮ On the Geil-Matsumoto bound and the length of AG codes ⋮ On extensions of semigroups and their applications to Toeplitz algebras ⋮ Generalizing strong admissibility of patterns of numerical semigroups ⋮ Huneke-Wiegand conjecture for complete intersection numerical semigroup rings. ⋮ On the numerical semigroup generated by \(\{b^{n+1+i}+\frac{b^{n+i}-1}{b-1}\mid i\in\mathbb{N}\}\) ⋮ Properties and applications of the Apéry set of good semigroups in \(\mathbb{N}^d\) ⋮ Cayley posets ⋮ The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus ⋮ On the linearity of \(\omega\)-primality in numerical monoids. ⋮ A decomposition of partitions and numerical sets ⋮ Linear, non-homogeneous, symmetric patterns and prime power generators in numerical semigroups associated to combinatorial configurations. ⋮ Frobenius sets for conjugate split primes in the Gaussian integers ⋮ Modular retractions of numerical semigroups. ⋮ Degree asymptotics of the numerical semigroup tree. ⋮ Homogeneous prime elements in normal two-dimensional graded rings ⋮ Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators ⋮ Extensions of semigroups and morphisms of semigroup \(C^* \)-algebras ⋮ The biLipschitz geometry of complex curves: an algebraic approach ⋮ Type and conductor of simplicial affine semigroups ⋮ On the multiplicity of a proportionally modular numerical semigroup ⋮ Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez) ⋮ The set of numerical semigroups of a given multiplicity and Frobenius number ⋮ On monomial curves obtained by gluing ⋮ Classes of complete intersection numerical semigroups. ⋮ Frobenius pseudo-varieties in numerical semigroups. ⋮ On partitions and Arf semigroups ⋮ Cyclotomic Numerical Semigroups ⋮ On the number of L-shapes in embedding dimension four numerical semigroups ⋮ Exploring the tree of numerical semigroups ⋮ On the set of catenary degrees of finitely generated cancellative commutative monoids ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ Numerical Semigroups on Compound Sequences ⋮ An Overview of the Computational Aspects of Nonunique Factorization Invariants ⋮ Canonical bases of modules over one dimensional \(\mathbf{K}\)-algebras ⋮ On the Teaching Complexity of Linear Sets ⋮ Numerical semigroups, polyhedra, and posets. II: Locating certain families of semigroups ⋮ Numerical semigroups with concentration two ⋮ Tangent cones of monomial curves obtained by numerical duplication ⋮ Ulrich ideals in numerical semigroup rings of small multiplicity ⋮ Principal matrices of numerical semigroups ⋮ On the value set of 1-forms for plane branches ⋮ Arf numerical semigroups with prime multiplicity ⋮ Compositions of a numerical semigroup ⋮ On the set of molecules of numerical and Puiseux monoids ⋮ Irreducible generalized numerical semigroups and uniqueness of the Frobenius element ⋮ Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup ⋮ NONHOMOGENEOUS PATTERNS ON NUMERICAL SEMIGROUPS ⋮ Frobenius allowable gaps of generalized numerical semigroups ⋮ Geometrical illustration of numerical semigroups and of some of their invariants. ⋮ The first elements of the quotient of a numerical semigroup by a positive integer ⋮ A characterization of arithmetical invariants by the monoid of relations. II: The monotone catenary degree and applications to semigroup rings. ⋮ The Frobenius problem for Thabit numerical semigroups ⋮ Finite generation for Hochschild cohomology of Gorenstein monomial algebras ⋮ Generalized power series with a limited number of factorizations ⋮ On a conjecture by Wilf about the Frobenius number ⋮ Modular Frobenius pseudo-varieties