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Graph of a nearring with respect to an Ideal

Bhavanari, Satyanarayana and Kuncham, Syam Prasad and Kedukodi, Babushri Srinivas (2010) Graph of a nearring with respect to an Ideal. Communications in Algebra, 38 (5). pp. 1957-1967. ISSN 0092-7872

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Abstract

We introduce a concept called the graph of a nearring N with respect to an ideal I of N denoted by GI (N): Then we define a new type of symmetry called ideal symmetry of GI (N). The ideal symmetry of GI (N) implies the symmetry determined by the automorphism group of GI (N). We prove that if I is a 3-prime ideal of a zero- symmetric nearring N then GI (N) is ideal symmetric. Under certain conditions, we and that if GI (N) is ideal symmetric then I is 3-prime. Finally, we deduce that if N is an equiprime nearring then the prime graph of N is ideal symmetric.

Item Type: Article
Uncontrolled Keywords: Nearring, Ideal, Graph.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 03 Mar 2012 04:04
Last Modified: 03 Mar 2012 04:04
URI: http://eprints.manipal.edu/id/eprint/3409

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