IJPAM: Volume 72, No. 2 (2011)

ON NORMAL RADICALS

Kishor Pawar$^1$, Rajendra Deore$^2$
$^1$Department of Mathematics
North Maharashtra University
Jalgaon, 425 001, INDIA
$^2$Department of Mathematics
University of Mumbai
Mumbai, 98, INDIA


Abstract. In this paper we introduce the notions like Morita context, Normal radicals, Strong radicals and Hypernilpotent radicals and characterize the same. Finally, we prove some useful results on primitive semirings.

Received: June 2, 2011

AMS Subject Classification: 16Y60

Key Words and Phrases: semirings, ideal, radical class of semiring, normal radical, Jacobson radical

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 72
Issue: 2