scientific article

Alfred Geroldinger, Franz Halter-Koch

Publication date: 11 May 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

integral domains monoids non-unique-factorization

Commutative semigroups (20M14) Units and factorization (11R27) Finite abelian groups (20K01) Polynomials over commutative rings (13B25) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items

Split absolutely irreducible integer-valued polynomials over discrete valuation domains, Increasing positive monoids of ordered fields are FF-monoids, Lattices over Bass rings and graph agglomerations, The large Davenport constant. I: Groups with a cyclic, index 2 subgroup., \(C^*\)-algebras of Toeplitz type associated with algebraic number fields, Density of type-dependent sets in Krull monoids with analytic structure, Arithmetic of semigroup semirings., Unnamed Item, On zero-sum subsequences in a finite abelian \(p\)-group of length not exceeding a given number, A characterization of class groups via sets of lengths, Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic., Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups, A note on minimal zero-sum sequences over Z, A construction of integer-valued polynomials with prescribed sets of lengths of factorizations, Upper triangular matrices over information algebras, An approach to the Jacobian conjecture in terms of irreducibility and square-freeness, On the generalized Davenport constant and the Noether number, Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields, Unnamed Item, Uniqueness of factorization for fusion-invariant representations, Unnamed Item, On the factorization of non-commutative polynomials (in free associative algebras), Factorization in monoids by stratification of atoms and the Elliott problem, Monoids of modules over rings of infinite Cohen-Macaulay type, The Main Zero-Sum Constants over \({\boldsymbol{D}}\) _2n \({\boldsymbol{\times C_2}}\), Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains, Separating monomials for diagonalizable actions, On the algebraic and arithmetic structure of the monoid of product-one sequences, Filters compatible with isomorphism testing, Conjecture of Wilf: A Survey, On the Molecules of Numerical Semigroups, Puiseux Monoids, and Puiseux Algebras, Normal sequences over finite abelian groups, On noncommutative bounded factorization domains and prime rings, Elasticity in Apéry Sets, An analogue of the Erdős-Ginzburg-Ziv theorem over \(\mathbb{Z}\), A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator, Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators, Accepted elasticity in local arithmetic congruence monoids., On generalized Erdős-Ginzburg-Ziv constants of \(C_n^r\), Harborth constants for certain classes of metacyclic groups, Factorization theory: from commutative to noncommutative settings., Davenport constant with weights and some related questions. II., An improved algorithm to compute the \(\omega\)-primality, Davenport constant with weights, Euclid's theorem: a bit more, Inverse problems associated with subsequence sums in \(C_p \oplus C_p\), Products of two atoms in Krull monoids and arithmetical characterizations of class groups., Avoiding zero-sum subsequences of prescribed length over the integers, A new upper bound for the cross number of finite Abelian groups., Puiseux monoids and transfer homomorphisms, Monoid properties as invariants of toposes of monoid actions, On the arithmetic of Krull monoids with finite Davenport constant., Tiny zero-sum sequences over some special groups, A realization theorem for sets of lengths, Multiplicative factorization in numerical semigroups, Nonunique factorization and principalization in number fields, Unnamed Item, Strong atoms in monadically Krull monoids, A new result on Davenport constant, Elasticities of Krull monoids with infinite cyclic class group, Non-unique factorizations of algebraic integers, Unions of sets of lengths., Zero-sum invariants on finite abelian groups with large exponent, Strong atoms in Krull monoids, Factorizations of polynomials with integral non-negative coefficients, Factoriality and class groups of cluster algebras, Arithmetic Congruence Monoids: A Survey