IJPAM: Volume 106, No. 2 (2016)

IDEALS IN $P(r,m)$ $\Gamma$-SEMINEAR-RINGS

R. Perumal$^1$, P. Chinnaraj$^2$
$^1$Department of Mathematics
SRM University
Kattankulathur, 603203, Tamilnadu, INDIA
$^2$Department of Mathematics
PSG Institute of Technology and Applied Research
Coimbatore, 641603, Tamilnadu, INDIA


Abstract. In this paper, we discuss in detail the behaviour of ideals of a $P(r,m)$ $\Gamma$ - seminear-ring. We have shown that in a $P(1,2) (P(2,1))$ $\Gamma$ - seminear-ring, every left ideal (right ideal) of $R$ is also an ideal. We also obtain the notions of prime ideal, completely prime ideal and primary ideal coincide in a $P(r,m)$ $\Gamma$ - seminear-ring which admits mate functions.

Received: September 9, 2015

AMS Subject Classification: 16Y60

Key Words and Phrases: left (right) ideal, prime ideal, completely prime ideal, primary ideal, $P(r,m)$ $\Gamma$ - seminear-ring

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DOI: 10.12732/ijpam.v106i2.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 533 - 541


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