IJPAM: Volume 84, No. 3 (2013)

ON NI Γ-SEMIRINGS

T.K. Dutta1, K.P. Shum2, S. Dhara3
1,3Department of Pure Mathematics
University of Calcutta
35, Ballygunge Circular Road, Kolkata, 700019, INDIA
2Institute of Mathematics
Yunnan University
Kunming, 650091, P.R. CHINA


Abstract. In this paper, the notions of semi-reduced prime Γ-semiring, semi-reduced prime ideal and NI Γ-semiring are introduced. We will characterize the NI Γ-semiring by semi-reduced prime ideals.

Received: February 11, 2013

AMS Subject Classification: 16Y60, 16Y99

Key Words and Phrases: insertion of factors property (IFP), semi-reduced prime Γ-semirings, semi-reduced prime ideals, NI Γ-semirings

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DOI: 10.12732/ijpam.v84i3.14 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: 2013
Volume: 84
Issue: 3