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Published in:

Volume 6 Issue 2
February-2019
eISSN: 2349-5162

Unique Identifier

JETIRAB06201

Page Number

1075-1081

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Title

A Study on Normal Gamma Seminear Rings

ISSN

2349-5162

Cite This Article

"A Study on Normal Gamma Seminear Rings", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.1075-1081, February-2019, Available :http://www.jetir.org/papers/JETIRAB06201.pdf

Abstract

The concept gamma near rings was introduced by Bhavanarisathayanarayana and studied by several authors like Young ukcho, R. Balakrishnan. It was later extened to seminear ring and gamma seminear ring by R. Perumal. et. al. In this paper we derived some results on left (right) normal gamma seminear ring by using the concepts on regularity and idempotent elements. In a regular normal gamma seminear ring, it is proved that both aγb and bγa are idempotents. A left normal gamma seminear ring is regular if and only if a𝛤R = e𝛤R and it is right normal whenever e is idempotent. The definition of left (right) – r – normal gamma seminear ring is given in this paper along with the property that every left – r – normal is left normal and homomophic image is preserving the left normal property if r = 2. Every left ideal of left (right) normal gamma seminear ring is idempotent also on a particular case when r = 2.

Key Words

Gamma seminear rings, left and right normal, idempotent, regular, left – r – normal, right – r –normal.

Cite This Article

"A Study on Normal Gamma Seminear Rings", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp1075-1081, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06201.pdf

Publication Details

Published Paper ID: JETIRAB06201
Registration ID: 197707
Published In: Volume 6 | Issue 2 | Year February-2019
DOI (Digital Object Identifier):
Page No: 1075-1081
ISSN Number: 2349-5162

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Cite This Article

"A Study on Normal Gamma Seminear Rings", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp1075-1081, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06201.pdf




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