Graded polynomial identities as identities of universal algebras

DOI10.1016/J.LAA.2018.10.006zbMath1435.17006arXiv1810.02185OpenAlexW2894971988WikidataQ129131197 ScholiaQ129131197MaRDI QIDQ1629826

Yu. A. Bakhturin, Felipe Yukihide Yasumura

Publication date: 12 December 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02185

zbMATH Keywords

polynomial identitiesuniversal algebragraded algebragraded polynomial identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) Free algebras (08B20) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (6)

\(\mathbb{Z}\)-graded polynomial identities of the Grassmann algebra ⋮ Semisimple algebras and PI-invariants of finite dimensional algebras ⋮ Graded identities and central polynomials for the verbally prime algebras ⋮ On some \(H\)-Galois objects and their polynomial \(H\)-identities ⋮ Gradings on associative algebras with involution and real forms of classical simple Lie algebras ⋮ Distinguishing simple algebras by means of polynomial identities

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