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...

Full description

Saved in:
Bibliographic Details
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2021.03.011