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DC Field | Value | Language |
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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 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (24). - 2017 |
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79-2028-1-PB.pdf | 441.87 kB | Adobe PDF | View/Open |
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