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On the radius and the relation between the total graph of a commutative ring and its extensions

Publications de l'Institut Mathematique (2011) 89(103) 1-9
DOI: 10.2298/PIM1103001P
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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.

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Pucanović, Z., & Petrović, Z. (2011). On the radius and the relation between the total graph of a commutative ring and its extensions. Publications de l’Institut Mathematique, 89(103), 1–9. https://doi.org/10.2298/PIM1103001P

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