The Grassmann algebra over arbitrary rings and minus sign in arbitrary characteristic

DOI10.1090/btran/49zbMath1456.16019arXiv1501.02464OpenAlexW3103253343MaRDI QIDQ5138473

Uzi Vishne, Alexei Kanel-Belov, Gal Dor

Publication date: 3 December 2020

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02464

zbMATH Keywords

trace identitiespolynomial identitiessuperalgebrageneralized signgeneralized Grassmann algebra

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Superalgebras (17A70) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• On the multiplicative andT-space structure of the relatively free Grassmann algebra
• On the identities of the Grassmann algebras in characteristic \(p>0\)