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DC Field | Value | Language |
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dc.contributor.author | Vadhel, P. | - |
dc.contributor.author | Visweswaran, S. | - |
dc.date.accessioned | 2019-12-17T08:08:47Z | - |
dc.date.available | 2019-12-17T08:08:47Z | - |
dc.date.issued | 2018 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4545 | - |
dc.description | Vadhel P. Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case / P. Vadhel , S. Visweswaran // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp.130-143 | uk_UA |
dc.description.abstract | The rings considered in this article are nonzero commutative with identity which are not fields. Let R be a ring. We denote the collection of all proper ideals of R by I(R) and the collection I(R)\{(0)} by I(R) ∗ . Recall that the intersection graph of ideals of R, denoted by G(R), is an undirected graph whose vertex set is I(R) ∗ and distinct vertices I, J are adjacent if and only if I ∩J = (0) 6 . In this article, we consider a subgraph of G(R), denoted by H(R), whose vertex set is I(R) ∗ and distinct vertices I, J are adjacent in H(R) if and only if IJ 6= (0). The purpose of this article is to characterize rings R with at least two maximal ideals such that H(R) is planar. | uk_UA |
dc.language.iso | en | uk_UA |
dc.publisher | ДЗ "ЛНУ імені Тараса Шевченка" | uk_UA |
dc.relation.ispartofseries | математичні науки; | - |
dc.subject | quasilocal ring | uk_UA |
dc.subject | special principal ideal ring | uk_UA |
dc.subject | clique number of a graph | uk_UA |
dc.subject | planar graph | uk_UA |
dc.title | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (26). - 2018 |
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1268-3657-1-SM (1).pdf | 374.35 kB | Adobe PDF | View/Open |
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