ON THE GRASSMANN T-SPACE

DOI10.1142/S0219498808002825zbMath1163.16012MaRDI QIDQ3521668

Chuluundorj Bekh-Ochir, David M. Riley

Publication date: 26 August 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

free associative algebrasvarietiesT-idealsGrassmann algebraspolynomial identitieslinear basesmultilinear commutatorsPI-algebrasT-spacesexterior 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)

Related Items (5)

An explicit basis for the Grassmann \(T\)-space ⋮ The central polynomials for the Grassmann algebra. ⋮ THE CENTRAL POLYNOMIALS OF THE FINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS ⋮ Examples of associative algebras for which the T-space of central polynomials is not finitely based. ⋮ THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS

Cites Work

• Varieties of associative algebras whose lattice of subvarieties is distributive
• Gesetze in Ringen. I
• On the Hilbert series op relatively free algebras
• Identities of associative algebras
• Unnamed Item

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