Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case
The rings we consider in this article are commutative with identity 1 ≠ 0 and 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)*. Let H(R) be the graph associated with R whose vertex set is I(R)* and distinct vertices...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188427 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case / S. Visweswaran, P. Vadhel // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 117–143. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680963044081664 |
|---|---|
| author | Visweswaran, S. Vadhel, P. |
| author_facet | Visweswaran, S. Vadhel, P. |
| citation_txt | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case / S. Visweswaran, P. Vadhel // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 117–143. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The rings we consider in this article are commutative with identity 1 ≠ 0 and 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)*. Let H(R) be the graph associated with R whose vertex set is I(R)* and distinct vertices I, J are adjacent if and only if IJ ≠ (0). The aim of this article is to discuss the planarity of H(R) in the case when R is quasilocal.
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| first_indexed | 2025-12-07T15:48:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188427 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:48:28Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Visweswaran, S. Vadhel, P. 2023-02-28T19:23:56Z 2023-02-28T19:23:56Z 2019 Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case / S. Visweswaran, P. Vadhel // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 117–143. — Бібліогр.: 14 назв. — англ. 1726-3255 2010 MSC: 13A15, 05C25. https://nasplib.isofts.kiev.ua/handle/123456789/188427 The rings we consider in this article are commutative with identity 1 ≠ 0 and 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)*. Let H(R) be the graph associated with R whose vertex set is I(R)* and distinct vertices I, J are adjacent if and only if IJ ≠ (0). The aim of this article is to discuss the planarity of H(R) in the case when R is quasilocal. We are very much thankful to the referee and all the members of the Editorial Board of Algebra and Discrete Mathematics for their suggestions and support. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case Article published earlier |
| spellingShingle | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case Visweswaran, S. Vadhel, P. |
| title | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case |
| title_full | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case |
| title_fullStr | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case |
| title_full_unstemmed | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case |
| title_short | Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case |
| title_sort | planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring ii, quasilocal case |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188427 |
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