Local finite basis property and local representability for varieties of associative rings.

DOI10.1134/S1064562410030336zbMath1208.16023OpenAlexW2133559187MaRDI QIDQ610592

Alexei Kanel-Belov

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410030336

zbMATH Keywords

quiversT-idealsfinitely generated PI-algebrasrelatively free algebrasalgebras with polynomial identityrepresentable algebrasalgebras over commutative Noetherian ringsfinite bases of polynomial identitiesSpecht problem

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Representations of quivers and partially ordered sets (16G20) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Nonassociative algebras satisfying other identities (17A30) ``Super (or ``skew) structure (16W55)

Related Items (1)

Attaching a matrix algebra to affine group schemes: polynomial identities

Cites Work

• Complexity of nonmatrix varieties of associative algebras. II
• Gesetze in Ringen. I
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