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ON THE STRUCTURE OF COMAXIMAL GRAPHS OF COMMUTATIVE RINGS WITH IDENTITY

Part of: General commutative ring theory

Published online by Cambridge University Press:  26 November 2010

SLAVKO M. MOCONJA  and
ZORAN Z. PETROVIĆ
SLAVKO M. MOCONJA*
Affiliation:
University of Belgrade, Faculty of Mathematics, Studentski trg 16, Belgrade 11000, Serbia (email: [email protected])
ZORAN Z. PETROVIĆ
Affiliation:
University of Belgrade, Faculty of Mathematics, Studentski trg 16, Belgrade 11000, Serbia (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper we investigate the center, radius and girth of comaximal graphs of commutative rings. We also provide some counterexamples to the results concerning the relation between isomorphisms of comaximal graphs and the rings in question. In addition, we investigate the relation between the comaximal graph of a ring and its subrings of a certain type.

Keywords

commutative ringsmaximal idealscomaximal graph

MSC classification

Secondary: 13A15: Ideals; multiplicative ideal theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 11 - 21
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

Footnotes

This work was partially supported by Ministry of Science and Environmental Protection of Republic of Serbia Project #144018 and Project #144020.

References

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