Height-one prime ideals in semigroup algebras satisfying a polynomial identity

DOI10.1006/jabr.2001.9011zbMath1023.16026OpenAlexW1999079453MaRDI QIDQ1604380

Qiang Wang, Eric Jespers

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9011

zbMATH Keywords

groups of quotientssemigroup algebrasprime elementsminimal prime idealsheight-one prime idealsPI Noetherian UFRssemi-invariant elementstorsion-free Abelian-by-finite groupsunique factorization rings

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) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (6)

Prime Ideals of Cancellative Semigroups ⋮ Monoids of IG-type and maximal orders. ⋮ PRIMES OF HEIGHT ONE AND A CLASS OF NOETHERIAN FINITELY PRESENTED ALGEBRAS ⋮ Semigroup algebras and Noetherian maximal orders ⋮ Noetherian Semigroup Algebras and Beyond ⋮ Factorizations of Elements in Noncommutative Rings: A Survey

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