Abstract
Let F be a field of characteristic zero and p a prime. In the present paper it is proved that a variety of Zp-graded associative PI F-algebras of finite basic rank is minimal of fixed Zp-exponent d if, and only if, it is generated by an upper block triangular matrix algebra UTZp(A1,…,Am) equipped with a suitable elementary Zp-grading, whose diagonal blocks are isomorphic to Zp-graded simple algebras A1,…,Am satisfying dimF(A1⊕⋯⊕Am)=d.
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