| Autor: |
T. Tamizh Chelvam, S. Nithya |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
Arab Journal of Mathematical Sciences, Vol 22, Iss 1, Pp 29-37 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
1319-5166 |
| DOI: |
10.1016/j.ajmsc.2015.01.003 |
| Popis: |
Let R be a commutative ring and I be an ideal of R. The ideal based zero-divisor graph, denoted by ΓI(R), is the graph with the vertex set {x∈R−I:xy∈Ifor somey∈R−I} and two distinct vertices x and y are adjacent if and only if xy∈I. In this paper, we classify all finite quotient rings R/I and ideals I of R for which the crosscap of ΓI(R) is at most one. Moreover, we investigate certain properties on the crosscap of ΓI(R) in the general case also. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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