Varieties of solvable index-two alternative algebras over a field of characteristic three

被引：0

作者：

S. V. Pchelintsev

机构：

[1] Moscow State Pedagogical University,

来源：

Mathematical Notes | 1999年 / 66卷

关键词：

variety of algebras; alternative algebra; identity in an algebra; topological rank;

D O I：

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学科分类号：

摘要：

The subvarieties of the variety Alt2 of solvable index-two alternative algebras over an arbitrary field of characteristic 3 are studied. The main types of such varieties are singled out in the language of identities, and inclusions between these types are established. The main results is the following.Theorem.The topological rank of the variety Alt2of solvable index-two alternative algebras over an arbitrary field of characteristic 3 is equal to five.

引用

页码：455 / 463

页数：8

共 5 条

[1] Pchelintsev C. V.(1981)Solyable index 2 varieties of algebras Mat. Sb. 115 179-203
[2] Medvedev Yu. A.(1978)Finite basability of varieties with a two-term identity Algebra i Logika 17 705-726
[3] Il'tyakov A. V.(1982)Lattice of subvarieties of a variety of two-step solvable alternative algebras Algebra i Logika 21 170-177
[4] Dorofeev G. V.(1960)An instance of a solvable, though nonnilpotent, alternative ring Uspekhi Mat. Nauk 15 147-150
[5] Shestakov I. P.(1991)Superalgebras and counterexamples Sibirsk. Mat. Zh. 32 187-196

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