On the radius and the relation between the total graph of a commutative ring and its extensions
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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 rings / zero-divisors / total graph
Source:Publications de l'Institut Mathematique, 2011, 89, 103, 1-9
- Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
- Analysis and algebra with applications (RS-174032)