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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Graded Identities of Several Tensor Products of the Grassmann Algebra

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Author(s):
Centrone, Lucio [1, 2] ; da Silva, Viviane Ribeiro Tomaz [3]
Total Authors: 2
Affiliation:
[1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari - Italy
[2] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[3] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Ave Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG - Brazil
Total Affiliations: 3
Document type: Journal article
Source: ALGEBRAS AND REPRESENTATION THEORY; v. 24, n. 6, p. 1441-1458, DEC 2021.
Web of Science Citations: 0
Abstract

Let F be an infinite field of characteristic different from two and E be the unitary Grassmann algebra of an infinite dimensional F-vector space L. Denote by E-gr an arbitrary Z(2)-grading on E such that the subspace L is homogeneous. We consider E-gr circle times E-circle times n as a (Z(2) x Z(2)(n))-graded algebra, where the grading on E is supposed to be the canonical one, and we find its graded ideal of identities. (AU)

FAPESP's process: 18/02108-7 - Identities in (non) associative algebras and related themes.
Grantee:Lucio Centrone
Support Opportunities: Regular Research Grants
FAPESP's process: 15/08961-5 - Growth of algebras with polynomial identities
Grantee:Lucio Centrone
Support Opportunities: Regular Research Grants