On semigroup algebras with rational exponents
From MaRDI portal
Publication:5027478
DOI10.1080/00927872.2021.1949018zbMath1484.13045arXiv1801.06779OpenAlexW3185222521MaRDI QIDQ5027478
Publication date: 4 February 2022
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06779
FFDUFDisomorphism problematomic domainBFDseminormal domainbounded factorization domainfinite factorization domain
Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility and factorizations in commutative rings (13A05)
Related Items (12)
Atomic semigroup rings and the ascending chain condition on principal ideals ⋮ Factorization of polynomials with rational exponents over a field ⋮ On the primality and elasticity of algebraic valuations of cyclic free semirings ⋮ Factorization in additive monoids of evaluation polynomial semirings ⋮ Length-factoriality and pure irreducibility ⋮ When Is a Group Algebra Antimatter? ⋮ Divisibility in rings of integer-valued polynomials ⋮ A characterization of length-factorial Krull monoids ⋮ Bounded and finite factorization domains ⋮ On the set of molecules of numerical and Puiseux monoids ⋮ Integral domains and the IDF property ⋮ Hereditary atomicity in integral domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Module amenability for semigroup algebras
- Atomicity and boundedness of monotone Puiseux monoids
- Factorization in integral domains
- Finiteness theorems for factorizations
- Irreducible divisors in domains of finite character
- The isomorphism problem for commutative monoid rings
- Minimal systems of generators for ideals of semigroups
- Increasing positive monoids of ordered fields are FF-monoids
- Systems of sets of lengths of Puiseux monoids
- A realization theorem for sets of lengths in numerical monoids
- Puiseux monoids and transfer homomorphisms
- Combinatoric invariance of toric singularities
- Divisibility properties in semigroup rings
- Factorizations in upper triangular matrices over information semialgebras
- On strongly primary monoids, with a focus on Puiseux monoids
- Long length functions
- On the atomicity of monoid algebras
- Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields
- FACTORIZATION IN MONOID DOMAINS
- Torsion-Free Abelian Semigroup Rings, V
- Polytopes, Rings, and K-Theory
- Factorization in Krull monoids with infinite class group
- Sets of Lengths
- Isomorphisms of one-relator semigroup algebras
- On integral domains with no atoms
- Irreducibility and Factorizations in Monoid Rings
- Increasingly Enumerable Submonoids of R : Music Theory as a Unifying Theme
- Factorization invariants of Puiseux monoids generated by geometric sequences
- Monoid Domain Constructions of Antimatter Domains
- On the Isomorphism of Integral Group Rings. I
- The Units of Group-Rings
- Atomicity and density of Puiseux monoids
- When Is a Puiseux Monoid Atomic?
- The group of units of a commutative semigroup ring
This page was built for publication: On semigroup algebras with rational exponents
