(–1, 1) metabelian rings-Reference-Cited by-同舟云学术

(–1, 1) metabelian rings

Published:2017-03-20 Issue:2 Volume:35 Page:115-125
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Jayalakshmi Karamsi¹^ORCID,Babu Kommaddi Hari¹

Affiliation:

1. JNTUA College of Engineering

Abstract

The structure of the set of all non- nilpotent (–1, 1) metabelian rings is studied. An additive basis of a free (–1, 1) metabelian ring is constructed. It is proved that any identity in a non- nilpotent 2, 3-torsion free (–1, 1) metabelian ring of degree greater than or equal to 6 is a consequence four defining identities of m where m is the metabelian (–1, 1) ring.

Funder

University Grants Commission

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference9 articles.

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4. 4. Dorofeev, G. V., An example of a solvable but not nilpotent alternative ring, Uspekhi Mat. Nauk [Russian Math. Surveys], 15, No. 3, 147-150, (1960).

5. 5. Zhevlakov, K. A., Sliníko, A. M., Shestakov, I.P. and Shirshov, A.I. Rings that are nearly Associative, Academic, New York, (1982); Nauka, (1978).

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