Let G be a finite group and A a G-graded algebra over a field F of characteristic zero. We characterize the (Formula presented.)-ideals (Formula presented.) of graded identities of A such that the multiplicities (Formula presented.) in the graded cocharacter of A are bounded by one. We do so by exhibiting a set of identities of the (Formula presented.)-ideal. As a consequence we characterize the varieties of G-graded algebras whose lattice of subvarieties is distributive.
|Number of pages||7|
|Journal||LINEAR & MULTILINEAR ALGEBRA|
|Publication status||Published - 2018|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory