EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 89(103), pp. 1–9 (2011)

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ON THE RADIUS AND THE RELATION BETWEEN THE TOTAL GRAPH OF A COMMUTATIVE RING AND ITS EXTENSIONS

Zoran Pucanovic, Zoran Petrovic

Faculty of Civil Engineering, University of Belgrade, Serbia and Faculty of Mathematics, University of Belgrade, Serbia

Abstract: We discuss the determination of the radius of the total graph of a commutative ring $R$ in the case when this graph is connected. Typical extensions such as polynomial rings, formal power series, idealization of the $R$-module $M$ and relations between the total graph of the ring $R$ and its extensions are also dealt with.

Keywords: commutative ring; zero-divisor; total graph

Classification (MSC2000): 13A99; 05C25

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Electronic fulltext finalized on: 6 Apr 2011. This page was last modified: 16 Oct 2012.

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