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.
Minimal varieties of PI-superalgebras with graded involution / Di Vincenzo, Onofrio Mario; da Silva, Viviane Ribeiro Tomaz; Spinelli, Ernesto. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - 241:2(2021), pp. 869-909. [10.1007/s11856-021-2119-z]
Minimal varieties of PI-superalgebras with graded involution
Di Vincenzo, Onofrio Mario;da Silva, Viviane Ribeiro Tomaz;Spinelli, Ernesto
2021
Abstract
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.| File | Dimensione | Formato | |
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