We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Varieties of unitary algebras with small growth of codimensions.
- Authors
de Oliveira, M. A.; Vieira, A. C.
- Abstract
In the last years, the sequence of codimensions of PI-algebras has been studied by several authors and the classification of unitary algebras, up to equivalence, with at most cubic codimension growth was given by Giambruno, La Mattina and Petrogradsky in 2007. In this paper, we establish a new approach by studying the possibilities of specific proper codimensions of a unitary algebra with growth n 4 in order to present a complete list of varieties generated by unitary algebras with polynomial growth n 4 . Also, we classify, up to PI-equivalence, the unitary algebras with growth n 5 whose leading coefficient of the polynomial describing the codimension sequence achieves the largest and the smallest possible value.
- Subjects
VARIETIES (Universal algebra); ALGEBRAIC varieties; ALGEBRA; POLYNOMIALS; DIMENSION theory (Algebra); UNITARY groups
- Publication
International Journal of Algebra & Computation, 2021, Vol 31, Issue 02, p257
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196721500144