THE CENTRAL POLYNOMIALS OF THE FINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS

DOI10.1142/S1793557110000167zbMath1218.16012arXiv0905.1082OpenAlexW3103398452MaRDI QIDQ3575400

C. Bekh-Ochir, Stuart A. Rankin

Publication date: 27 July 2010

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1082

zbMATH Keywords

T-idealspolynomial identitiesT-spacescentral polynomialsnonunitary Grassmann algebrasunitary Grassmann algebrasfinite-dimensional Grassmann algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (2)

Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra. ⋮ The Identities and Central Polynomials of the Finite Dimensional Unitary Grassmann Algebras Over a Finite Field

Cites Work

• Maximal \(T\)-spaces of a free associative algebra.
• ON THE GRASSMANN T-SPACE
• On the identities of the Grassmann algebras in characteristic \(p>0\)
• Unnamed Item

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