$ast$-graded polynomial identities

Minimal varieties of PI-superalgebras with graded involution

In the present paper it is proved that a variety of associative PI-superalgebras with graded involution of finite basic rank over a field of characteristic zero is minimal of fixed $ast$-graded exponent if, and only if, it is generated by a subalgebra of an upper block triangular matrix algebra equipped with a suitable elementary $Z_2$-grading and graded involution.

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