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
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2025年 / 265卷 / 01期
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.
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页码：311 / 346
页数：36
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