The monoid rings that are Bezout domains

DOI10.1007/BF01234323zbMath0463.16002OpenAlexW2033268992MaRDI QIDQ1153415

Pere Menal

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234323

zbMATH Keywords

monoid ringdirect limit of free monoidsright Bezout domainsemifir

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility, noncommutative UFDs (16U30)

Related Items (6)

Semigroup rings ⋮ On rigid monoids and 2-fir monoid rings ⋮ A question of cohn on semifir monoid rings ⋮ On semihereditary rings ⋮ On monoids, 2-firs, and semifirs. ⋮ Inverting Elements in Rigid Monoids

Cites Work

• Unnamed Item
• Free ideal monoid rings
• Sylvester domains
• Groups of cohomological dimension one

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