Minimal ∗-varieties and superinvolutions

被引:0
|
作者
Di Vincenzo, Onofrio M. [1 ]
Nardozza, Vincenzo C. [2 ]
机构
[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, viale Ateneo Lucano, I-85100 Potenza, Italy
[2] Univ Bari, Dipartimento Matemat, via Orabona 4, I-70125 Bari, Italy
关键词
CODIMENSION GROWTH; POLYNOMIAL-IDENTITIES; PI-ALGEBRAS; INVOLUTION; VARIETIES;
D O I
10.1007/s11856-024-2657-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce a class of finite-dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all & lowast;-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.
引用
收藏
页码:311 / 346
页数:36
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