IJPAM: Volume 113, No. 1 (2017)

Title

FULLY IDEMPOTENT $\Gamma$-SEMIRING

Authors

Bibhas Chandra Saha
Chandidas Mahavidyalaya
Khujutipara, Birbhum, INDIA

Abstract

In this paper we prove that fifteen classes of $\Gamma-$ semirings coincide with the class of $\Gamma$-semiring named in the title. Then we characterize each such $\Gamma$-semiring by the property that each ideal is intersection of those prime ideals which contain it.

History

Received: December 12, 2016
Revised: January 27, 2017
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 16Y60, 16Y99
Key Words and Phrases: fully idempotent $\Gamma$-semiring, operator semiring, prime ideal, irreducible ideal

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v113i1.12 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: 2017
Volume: 113
Issue: 1
Pages: 131 - 139


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