IJPAM: Volume 87, No. 6 (2013)
ON STRONG IFP NEAR-RINGS
P. Dheena
, B. Elavarasan
Department of Mathematics
Annamalai University
Annamalainagar, 608 002, INDIA
Department of Mathematics
Karunya University
Coimbatore, 641 114, Tamilnadu, INDIA



Annamalai University
Annamalainagar, 608 002, INDIA

Karunya University
Coimbatore, 641 114, Tamilnadu, INDIA
Abstract. In this paper, we introduce the notion of strong IFP and weak IFP near-rings. Weak IFP near-ring is a generalization of IFP near-ring. We study the basic properties of right weak IFP near-rings. We show that if is a 2-primal near-ring and if
is strong IFP, then
is left weakly regular if and only if every prime ideal of
is maximal.
Received: September 6, 2013
AMS Subject Classification: 16Y30
Key Words and Phrases: regular, IFP near-ring, reduced, 2-primal and weakly regular
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DOI: 10.12732/ijpam.v87i6.9 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: 87
Issue: 6