A superrank of varieties of Lie algebras

被引：0
|
作者：
M. V. Zaitsev
机构：
来源：
Algebra and Logic | 1998年 / 37卷 / 4期
关键词：
Homogeneous Element; Monomial Identity; Standard Identity; Multilinear Polynomial; Nontrivial Identity;
D O I：
10.1007/BF02671626
中图分类号：
学科分类号：
摘要：
A variety of Lie algebras over a field of characteristic 0 has a finite superrank if it is generated by the Grassmann envelope of a finitely generated Lie superalgebra. We prove that every commutator variety not in NcA has infinite superrank. Consequently, infinite are superranks of all polynilpotent varieties of Lie algebras except Nc and NcA.
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页码：223 / 233
页数：10
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