Arithmetical Semigroup Rings

DOI10.4153/CJM-1980-106-xzbMath0411.20045OpenAlexW2063474513MaRDI QIDQ4198944

Bonnie R. Hardy, Thomas S. Shores

Publication date: 1980

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1980-106-x

zbMATH Keywords

Bezout ringsemihereditary ringarithmetical ringcancellative semigroupsprincipal ideal ringarithmetical semigroup rings

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Principal ideal rings (13F10) Semigroup rings, multiplicative semigroups of rings (20M25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (10)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Group rings with n-generated ideals ⋮ Two-generated ideals in non-Noetherian semigroup rings ⋮ Arithmetical rings ⋮ Unnamed Item ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Unique factorization properties in commutative monoid rings with zero divisors ⋮ Transfer maps ⋮ Monoid rings which are valuation rings ⋮ Unique factorization of ideals in commutative rings with zero divisors

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