Submonoids of polycyclic-by-finite groups and their algebras

DOI10.1023/A:1011433816487zbMath0992.20049OpenAlexW103669615MaRDI QIDQ5944688

Eric Jespers, Okniński, Jan

Publication date: 4 June 2002

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011433816487

zbMATH Keywords

group algebraspolycyclic-by-finite groupsprime idealsKrull dimensionirreducible modulesfinitely presented algebrasJacobson ringsNoetherian semigroup algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Semigroup rings, multiplicative semigroups of rings (20M25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (11)

Prime ideals in algebras determined by submonoids of nilpotent groups ⋮ Prime Ideals of Cancellative Semigroups ⋮ QUADRATIC ALGEBRAS OF SKEW TYPE SATISFYING THE CYCLIC CONDITION ⋮ 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 ⋮ Semigroup algebras and Noetherian maximal orders: a survey. ⋮ Hereditary semigroup algebras ⋮ Height-one prime ideals in semigroup algebras satisfying a polynomial identity ⋮ Monoids and groups of I-type.

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