IJPAM: Volume 97, No. 3 (2014)

LEVITZKI RADICAL OF NOBUSAWA $\Gamma$-SEMIRING

Bibhas Chandra Saha
Chandidas Mahavidyalaya
Khujutipara, Birbhum, W.B., INDIA


Abstract. In this paper we obtain the Levitzki radical of both sided $\Gamma-$semiring (Nobusawa $\Gamma-$ semiring or $\Gamma_{N}-$semiring). Relation between the Levitzki 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: July 2, 2014

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

Key Words and Phrases: $\Gamma_{N}-$semiring, operator semiring, locally nilpotent ideal, Levitzki radical, matrix semiring

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DOI: 10.12732/ijpam.v97i3.6 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: 2014
Volume: 97
Issue: 3
Pages: 345 - 352


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