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 |
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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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