On the radius and the relation between the total graph of a commutative ring and its extensions
Апстракт
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.
Кључне речи:
commutative rings / zero-divisors / total graphИзвор:
Publications de l'Institut Mathematique, 2011, 89, 103, 1-9Издавач:
- Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
Финансирање / пројекти:
- Анализа и алгебра са применама (RS-174032)
DOI: 10.2298/PIM1103001P
ISSN: 0350-1302