Topological rank of (-1, 1) metabelian algebras

Author:

Jayalakshmi Karamsi1,Babu Kommaddi Hari1

Affiliation:

1. Jawaharlal Nehru Technological University

Abstract

In 1981, Pchelintsev developed the idea for arranging non-nilpotent subvarieties in a given variety by using topological rank for spechtian varieties of algebra as a fixed tool. In this paper we show that for a given topological rank over a field of 2, 3 ? torsion free of (-1; 1) metabelian algebra solvable of index 2 that are Lie-nilpotent of step not more than p is equal to P.

Funder

University Grants Commission

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference24 articles.

1. Badeev, A. V., the variety N3N2 of commutative alternative nil-algebras of index 3 over a field of charcterstic3, Fundam. Prikl. Mat. 8 335-336 Russian(2002).

2. Kuz’min, A. M., On Spechtian Varieties of right alternative algebras, J. Math. Sci., New York 149 1098-1106 1098-1106; translation from Fundam. Prikl. Mat. 12 89-100, (2006).

3. Il’tyakov, A. V., On finite basis of identities of Lie algebra representations, Nova J. Algebra Geom. 1 207-259, (1992).

4. Il'tyakov, A. V., Finiteness of basis of identities of a finitely generated alternative PI-algebra over a field of characteristic zero, Sib. Math. J. 32, 948-961 (1991)

5. translation from Sib. Mat. Zh. 32 61-76,(1991).

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3