On the arithmetic of polynomial semidomains
From MaRDI portal
Publication:6073697
DOI10.1515/forum-2022-0091arXiv2203.11478OpenAlexW4385252796MaRDI QIDQ6073697
Publication date: 18 September 2023
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.11478
integral domainatomicitypolynomial semiringACCPfactorialitysemidomainlength-factorialityfinite factorizationbounded factorization
Polynomials in number theory (11C08) Semirings (16Y60) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic theory of semigroups (20M13)
Related Items (3)
Arithmetic of additively reduced monoid semidomains ⋮ Factorization in additive monoids of evaluation polynomial semirings ⋮ Length-factoriality and pure irreducibility
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Arithmetic of semigroup semirings.
- Factorization in integral domains
- Handbook of weighted automata
- Longueurs des décompositions en produits d'éléments irréductibles dans un anneau de Dedekind. (Lengths of decompositions in products of irreducible elements in a Dedekind ring)
- Atomic rings without a.c.c. on principal ideals
- Finiteness theorems for factorizations
- Factorization in integral domains. II
- An example of an atomic pullback without the ACCP
- Half-factorial-domains
- Divisibility properties in semigroup rings
- On the atomic property for power series rings
- Bi-atomic classes of positive semirings
- Divisibility in rings of integer-valued polynomials
- A characterization of length-factorial Krull monoids
- Bounded and finite factorization domains
- On the additive structure of algebraic valuations of polynomial semirings
- Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid
- Factorizations in upper triangular matrices over information semialgebras
- On the atomicity of monoid algebras
- Factorizations of polynomials with integral non-negative coefficients
- Polynomial extensions of atomic domains
- On some classes of polynomials with nonnegative coefficients and a given factor
- Elasticity of factorization in number fields
- Length-factoriality in commutative monoids and integral domains
- Half factorial domains
- ACCP in Polynomial Rings: A Counterexample
- Factorizations in evaluation monoids of Laurent semirings
- On the atomic structure of exponential Puiseux monoids and semirings
- Factorization invariants of Puiseux monoids generated by geometric sequences
- On domains with properties weaker than atomicity
- Factorization invariants of the additive structure of exponential Puiseux semirings
- Atomic semigroup rings and the ascending chain condition on principal ideals
- On unique factorization domains
- On the primality and elasticity of algebraic valuations of cyclic free semirings
- Length-factoriality and pure irreducibility
This page was built for publication: On the arithmetic of polynomial semidomains
