IJPAM: Volume 107, No. 4 (2016)

PRIME RADICAL IN MATRIX SEMIRING $\left(\small\begin{array}{ll} R& \Gamma \\ S& L \end{array}\right)$

Bibhas Chandra Saha
Chandidas Mahavidyalaya
Khujutipara, Birbhum
West Bengal, 731215, INDIA


Abstract. In this paper we obtain the prime radical of both sided $\Gamma-$semiring (Nobusawa $\Gamma-$ semiring or $\Gamma_{N}-$semiring ). Relation between the prime radicals of a $\Gamma_{N}-$semiring S and that of the matrix semiring $\left(\small\begin{array}{ll} R& \Gamma \\ S& L \end{array}\right)$ is obtained.

Received: January 26, 2016

AMS Subject Classification: 16Y60,16Y99, 20N10

Key Words and Phrases: $\Gamma_{N}-$semiring, operator semiring, prime radical, matrix semiring

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DOI: 10.12732/ijpam.v107i4.17 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: 107
Issue: 4
Pages: 997 - 1004


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