One-Dimensional Monoid Rings with n-Generated Ideals

DOI10.4153/CMB-1993-047-3zbMath0805.20062OpenAlexW2312962579MaRDI QIDQ4291065

J. Paul Vicknair, J. S. Okon

Publication date: 8 February 1995

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1993-047-3

zbMATH Keywords

monoid ringsquotient groupscommutative cancellative monoidslocal artinian rings\(n\)-generator propertytorsionfree rank one

Mathematics Subject Classification ID

Commutative semigroups (20M14) Ordinary and skew polynomial rings and semigroup rings (16S36) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Semigroup rings, multiplicative semigroups of rings (20M25) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

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