On semigroup graded PI-algebras

DOI10.1007/BF02573766zbMath0808.16048MaRDI QIDQ688969

Andrei V. Kelarev

Publication date: 22 March 1995

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135279

zbMATH Keywords

nilpotentPI-algebrasgeneralized matrix algebra\(S\)-graded algebrafinite ideal chain

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Graded rings and modules (associative rings and algebras) (16W50) Identities other than those of matrices over commutative rings (16R40)

Related Items (15)

Applications of epigroups to graded ring theory ⋮ Unnamed Item ⋮ Group graded rings with the nil-good property ⋮ On rings which are sums of subrings and additive subgroups ⋮ Bergman's lemma for graded rings ⋮ Semigroup-graded rings with finite support ⋮ Rings which are sums of PI subrings ⋮ FBN hopf module algebras ⋮ Graded Generalized Polynomial Identities (with an Antiautomorphism) in Graded Algebras ⋮ Semigroup graded algebras and graded PI-exponent ⋮ When Is a Graded PI Algebra a PI Algebra? ⋮ Ibn for graded rings ⋮ Note on rings which are sums of a subring and an additive subgroup ⋮ On graded polynomial identities with an antiautomorphism ⋮ Semigroup graded algebras and codimension growth of graded polynomial identities.

Cites Work

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• General polynomial identities. II
• Semigroup Rings and Semilattice Sums of Rings
• Group-Graded Rings, Smash Products, and Group Actions
• The preservation of some ring properties by semilattice sums
• On Semisimple Semigroup Rings
• Radicals of semigroup rings of commutative semigroups

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