TEST RANK OF F/R′ LIE ALGEBRAS-Reference-Cited by-同舟云学术

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TEST RANK OF F/R′ LIE ALGEBRAS

Published:2006-08 Issue:04 Volume:16 Page:817-825
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

ESMERLIGIL ZERRIN¹,KAHYALAR DILEK¹,EKICI NAIME¹

Affiliation:

1. Department of Mathematics, Cukurova University, Adana, Turkey

Abstract

Let F be a free Lie algebra of finite rank n and R be an ideal of F such that the universal enveloping algebra U(F/R) for F/R is an integral domain satisfying the Ore condition. We show that test rank for the Lie algebras of the form F/R′ is equal to n - 1 or n.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196706003207

Reference11 articles.

1. Test Sets and Test Rank of a Free Metabelian Lie Algebra

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The test rank of a solvable product of free abelian Lie algebras;Journal of Algebra and Its Applications;2019-02

2. TEST RANK OF THE LIE ALGEBRA F/[R′, F];Journal of Algebra and Its Applications;2014-01-09

3. Test rank of an abelian product of a free Lie algebra and a free abelian Lie algebra;Proceedings - Mathematical Sciences;2011-08

4. Computing the test rank of a free solvable Lie algebra;Siberian Mathematical Journal;2008-11

5. The test rank of a soluble product of free Abelian groups;Sbornik: Mathematics;2008-04-30

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