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Di Vincenzo, Onofrio Mario; da Silva, Viviane Ribeiro Tomaz; Spinelli, Ernesto
Journal of algebra, 01/2022, Letnik: 589Journal Article
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:=UTZ2⁎(A1,…,Am), equipped with a suitable elementary Z2-grading and graded involution. Here we give necessary and sufficient conditions so that IdZ2⁎(A) factorizes in the product of the ideals of ⁎-graded polynomial identities of its ⁎-graded simple components Ai.
