On the genus of the annihilator graph of a commutative ring

dc.contributor.author	Chelvam, T. T.
dc.contributor.author	Selvakumar, K.
dc.date.accessioned	2019-12-18T07:54:47Z
dc.date.available	2019-12-18T07:54:47Z
dc.date.issued	2017
dc.identifier.uri	http://hdl.handle.net/123456789/4558
dc.description	Chelvam T.T. On the genus of the annihilator graph of a commutative ring / On the genus of the annihilator graph of a commutative ring // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 191- 208	uk_UA
dc.description.abstract	Let R be a commutative ring and Z(R) ∗ be its set of non-zero zero-divisors. The annihilator graph of a commu- tative ring R is the simple undirected graph AG(R) with vertices Z(R) ∗ , and two distinct vertices x and y are adjacent if and only if ann(xy) 6= ann(x) ∪ ann(y). The notion of annihilator graph has been introduced and studied by A. Badawi [7]. In this paper, we determine isomorphism classes of finite commutative rings with identity whose AG(R) has genus less or equal to one.	uk_UA
dc.language.iso	en	uk_UA
dc.relation.ispartofseries	математичні науки;
dc.subject	commutative ring	uk_UA
dc.subject	annihilator graph	uk_UA
dc.subject	genus	uk_UA
dc.subject	planar	uk_UA
dc.subject	local rings.	uk_UA
dc.title	On the genus of the annihilator graph of a commutative ring	uk_UA
dc.type	Article	uk_UA