Crosscap of the ideal based zero-divisor graph

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