ON THE STRUCTURE OF COMAXIMAL GRAPHS OF COMMUTATIVE RINGS WITH IDENTITY

2010/11/26 by SLAVKO M. MOCONJA, Slavko Moconja, ZORAN Z. PETROVIĆ +1 · 1 citation
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.1017/s0004972710001875

Abstract

Abstract 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.

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