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

ON THE RADIUS AND THE RELATION BETWEEN THE TOTAL GRAPH OF A COMMUTATIVE RING AND ITS EXTENSIONSZoran Pucanovic, Zoran PetrovicFaculty of Civil Engineering, University of Belgrade, Serbia and Faculty of Mathematics, University of Belgrade, SerbiaAbstract: 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; zerodivisor; total graph Classification (MSC2000): 13A99; 05C25 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 6 Apr 2011. This page was last modified: 16 Oct 2012.
© 2011 Mathematical Institute of the Serbian Academy of Science and Arts
