Prime Graph of a Ring

Satyanarayana, Bhavanari and Kuncham, Syam Prasad and Dasari, Nagaraju (2010) Prime Graph of a Ring. Journal of Combinatorics, Information & System Sciences, 35 (1-2). pp. 27-42. ISSN 0250-9628

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Abstract

In this paper we consider associative rings R (need not be commutative) and defined a new concept ‘Prime Graph of R’ (denoted by PG(R)). We presented some examples. We obtained few fundamental important results related to PG(R); proved that if R is a semiprime ring, then R is a prime ring if and only if the PG(R) is a tree. Further, we have observed several properties of PG(R) with respect to the properties like: zero divisors, nilpotent elements in R.

Item Type: Article
Uncontrolled Keywords: Associative ring, Graph, Prime Graph.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 08 Dec 2011 06:55
Last Modified: 28 May 2012 09:41
URI: http://eprints.manipal.edu/id/eprint/1766

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