IJPAM: Volume 98, No. 5 (2015)
ABSTRACT AFFINE NEAR-RINGS
Department of Mathematics
Research and Development Centre
Coimbatore, 641 046, INDIA
Perunthalaivar Kamarajar Institute of Engineering and Technology
Karaikal, 609 603 (U.T.of Puducherry), INDIA
Abstract. In this paper we introduce the concept of weak quasi-ideal in abstract affine near-rings. We extend the notation of quasi-ideal to weak quasi-ideal in abstract affine near-rings. We obtain an example which is weak quasi-ideal but not quasi-ideal. We obtain necessary and sufficient condition for a weak quasi-ideal to be minimal.
Received: January 29, 2015
AMS Subject Classification: 16Y30
Key Words and Phrases: near-rings, quasi-ideal, affine near-ring
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DOI: 10.12732/ijpam.v98i5.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 9 - 13