The local finite basis property and local representability of varieties of associative rings

DOI10.1070/IM2010v074n01ABEH002481zbMath1208.16022MaRDI QIDQ3552171

Alexei Kanel-Belov

Publication date: 13 April 2010

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

zbMATH Keywords

quiversuniversal algebrasT-idealsnon-commutative algebraic geometryfinitely 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)

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