Prime Ideals of Cancellative Semigroups

DOI10.1081/AGB-120037413zbMath1120.20061OpenAlexW2039208327MaRDI QIDQ3158243

Okniński, Jan

Publication date: 21 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120037413

zbMATH Keywords

prime idealssemigroup algebrascancellative semigroups

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (3)

THE SEMIPRIMENESS OF SEMIGROUP RINGS ⋮ PRIMES OF HEIGHT ONE AND A CLASS OF NOETHERIAN FINITELY PRESENTED ALGEBRAS ⋮ Structure of prime finitely presented monomial algebras.

Cites Work

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• Binomial semigroups
• Height-one prime ideals in semigroup algebras satisfying a polynomial identity
• Prime Ideals in Group Rings of Polycyclic Groups
• Completely 0-simple semigroups of quotients III
• Prime and semiprime semigroup algebras of cancellative semigroups
• Semigroup algebras and Noetherian maximal orders
• Submonoids of polycyclic-by-finite groups and their algebras

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