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Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case
Репозиторій DSpace/Manakin
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Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case
Інший ID:
2010 MSC: 13A15, 05C25.
Посилання:
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.
Підтримка:
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.
Дата:
2019
Переглядів:
243
Завантажень:
87
Анотація:
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.
