Gelfand-Kirillov dimension of Noetherian semigroup algebras

DOI10.1006/jabr.1993.1255zbMath0801.16029OpenAlexW2040211229MaRDI QIDQ1320202

Okniński, Jan

Publication date: 1 December 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1255

zbMATH Keywords

Gelfand-Kirillov dimensionsemigroup algebraprime radicalnilpotency indexcancellative subsemigroupsnilpotent-by-finite group of fractionsnoetherian semigroup ringsemigroups with polynomial growth

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Semigroup rings, multiplicative semigroups of rings (20M25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (7)

Generalised Tits alternative for linear semigroups ⋮ QUADRATIC ALGEBRAS OF SKEW TYPE SATISFYING THE CYCLIC CONDITION ⋮ Linear semigroups of polynomial growth in positive characteristic ⋮ Nilpotent semigroups of matrices ⋮ Gelfand-Kirillov dimension of some primitive abundant semigroups. ⋮ Noetherian Semigroup Algebras and Beyond ⋮ A combinatorial property and growth for semigroups of matrices

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