摘要 : It has been recently 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 *-graded exponent if, and only if, it is generated by a... 展开 It has been recently 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 *-graded exponent if, and only if, it is generated by a subalgebra of an upper block triangular matrix algebra, A := UT*(Z2) (A(1), ..., A(m)), equipped with a suitable elementary Z(2)-grading and graded involution. Here we give necessary and sufficient conditions so that Id*(Z2) (A) factorizes in the product of the ideals of *-graded polynomial identities of its *-graded simple components A. (C) 2021 Elsevier Inc. All rights reserved. 收起