Graded Identities of Several Tensor Products of the Grassmann Algebra

Autor(es)

Centrone, Lucio ^{[1, 2]} ; da Silva, Viviane Ribeiro Tomaz ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: ALGEBRAS AND REPRESENTATION THEORY; v. 24, n. 6, p. 1441-1458, DEC 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/02108-7 - Identidades em álgebras (não) associativas e temas afins.
• Beneficiário: Lucio Centrone
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 15/08961-5 - Crescimento de álgebras com identidades polinomiais
• Beneficiário: Lucio Centrone
• Modalidade de apoio: Auxílio à Pesquisa - Regular