On semigroup algebras with rational exponents

DOI10.1080/00927872.2021.1949018zbMath1484.13045arXiv1801.06779OpenAlexW3185222521MaRDI QIDQ5027478

Felix Gotti

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

zbMATH Keywords

FFDUFDisomorphism problematomic domainBFDseminormal domainbounded factorization domainfinite factorization domain

Mathematics Subject Classification ID

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

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• 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

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