Superalgebras with graded involution: Classifying minimal varieties of quadratic growth

Let V be a variety of superalgebras with graded involution and let cngri(V) be its sequence of ⁎-graded codimensions. We say that V has polynomial growth nk if asymptotically cngri(V)≈ank, for some a≠0. Furthermore, V is minimal of polynomial growth nk if cngri(V) grows as nk and any proper subvarie...

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Published in:Linear algebra and its applications 2021-07, Vol.621, p.105-134
Main Authors: Ioppolo, A., dos Santos, R.B., Santos, M.L.O., Vieira, A.C.
Format: Article
Language:English
Subjects:
Algebra with involution
Classification
Codimension
Graded involution
Growth
Linear algebra
Polynomial identity
Polynomials
Superalgebra
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description Let V be a variety of superalgebras with graded involution and let cngri(V) be its sequence of ⁎-graded codimensions. We say that V has polynomial growth nk if asymptotically cngri(V)≈ank, for some a≠0. Furthermore, V is minimal of polynomial growth nk if cngri(V) grows as nk and any proper subvariety of V has polynomial growth nt, with t
doi_str_mv 10.1016/j.laa.2021.03.011
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subjects Algebra with involution
Classification
Codimension
Graded involution
Growth
Linear algebra
Polynomial identity
Polynomials
Superalgebra
title Superalgebras with graded involution: Classifying minimal varieties of quadratic growth
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