Superalgebras with graded involution: Classifying minimal varieties of quadratic growth

Autor(es)

Ioppolo, A. ; dos Santos, R. B. ; Santos, M. L. O. ; Vieira, A. C.

• Tipo de documento: Artigo Científico
• Fonte: Linear Algebra and its Applications; v. 621, p. 30-pg., 2021-03-16.

Resumo

Let V be a variety of superalgebras with graded involution and let c(n)(gri)(V) be its sequence of *-graded codimensions. We say that V has polynomial growth n(k) if asymptotically c(n)(gri) (V) approximate to an(k), for some a not equal 0. Furthermore, V is minimal of polynomial growth n(k) if c(n)(gri) (V) grows as n(k) and any proper subvariety of V has polynomial growth n(t), with t < k. In this paper, we classify superalgebras with graded involution generating minimal varieties of quadratic growth. (C) 2021 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 18/17464-3 - Identidades polinomiais e superinvoluções
• Beneficiário: Antonio Ioppolo
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado