Nearring Ideals, Graphs and Cliques

Kedukodi, Babushri Srinivas and Kuncham, Syam Prasad and Satyanarayana, Bh (2013) Nearring Ideals, Graphs and Cliques. International Mathematical Forum, 8 (2). pp. 73-83. ISSN 1312-7594

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Abstract

In this paper, we define the notion of fuzzy graph of a nearring N with respect to a level ideal t denoted by (N; ; ; t). The primary aim of this notion is to depict graphically the fuzzy character which is concealed algebraically in the examples of 3-prime fuzzy ideals of a nearring N. We and that if N is a zero-symmetric nearring and is 3- prime fuzzy ideal of N, then (N; ; ; t) has a special type of symmetry. We call this symmetry as the ideal symmetry of (N; ; ; t). We and the conditions under which the ideal symmetry of (N; ; ; t) implies is a 3-prime fuzzy ideal of N. Finally, we obtain a result which finds all the fuzzy cliques of (N; ; ; t) whenever is 3-prime and N is zero- symmetric.

Item Type: Article
Uncontrolled Keywords: nearring, equiprime, 3-prime, c-prime, ideal, graph, clique
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 07 Nov 2012 11:22
Last Modified: 18 Mar 2013 09:45
URI: http://eprints.manipal.edu/id/eprint/77530

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