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 *-graded exponent if, and only if, it is generated by a subalgebra of an upper block triangular matrix algebra equipped with a suitable elementary ℤ₂-grading and graded involution.

中文翻译：

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具有渐近对合的PI超级代数的极小种

在本文中，证明了只有在由*的子代数生成的情况下，在特征为零的区域上具有有限基本秩的渐变对合的各种关联PI-超代数对于固定*级指数是极小的。上部块三角矩阵代数配备有合适基本ℤ ₂ -grading和分级乘方。