Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415818 | Journal of Pure and Applied Algebra | 2016 | 15 Pages |
Abstract
Given a minimal superalgebra A=AssâJ(A), any subsequence of the graded simple summands of Ass determines a homogeneous subalgebra of A which is still a minimal superalgebra. In the present paper we provide a sufficient condition so that the TZ2-ideal of graded polynomial identities satisfied by A factorizes as the product of the TZ2-ideals associated to its suitable homogeneous subalgebras of such a type. We use this fact to show that in this event A generates a minimal supervariety of fixed superexponent.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Onofrio Mario Di Vincenzo, Viviane Ribeiro Tomaz da Silva, Ernesto Spinelli,