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 *-graded exponent if, and only if, it is generated by a subalgebra of an upper block triangular matrix algebra equipped...

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Bibliographic Details
Published in:Israel journal of mathematics 2021-03, Vol.241 (2), p.869-909
Main Authors: Di Vincenzo, Onofrio Mario, da Silva, Viviane Ribeiro Tomaz, Spinelli, Ernesto
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Matrix algebra
Theoretical
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Summary: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 ℤ 2 -grading and graded involution.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-021-2119-z