On monomial algebras

DOI10.1007/BF01196501zbMath0627.20042OpenAlexW2082488725MaRDI QIDQ581550

Okniński, Jan

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196501

zbMATH Keywords

Jacobson radicalidealchain conditionsPI-algebracontracted semigroup ringfinitely generated free semigrouppermutational propertyRees factor semigroup

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Semigroup rings, multiplicative semigroups of rings (20M25) Rings with polynomial identity (16Rxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (5)

The jacobson and brown-mccoy radicals of rings graded by free groups ⋮ Primitive algebras with arbitrary Gelfand-Kirillov dimension ⋮ Monomial algebras ⋮ The Noetherian property in some quadratic algebras ⋮ On radicals of monomial algebras

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• A permutational property of groups
• On the Burnside problem for semigroups
• On semigroup algebras satisfying polynomial identities
• Gelfand-Kirillov dimensions of a tensor product
• Identities of semigroup algebras of completely O-simple semigroups
• Semilocal semigroup rings
• On Monomial Algebras of Finite Global Dimension
• On cancellative semigroup rings
• Affine algebras of Gelfand-Kirillov dimension one are PI

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