Ideal based hypergraph of a commutative ring

Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements of is not equal to R. This article analyses s...

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Autores principales:	V. C. Amritha, K. Selvakumar
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	co-maximal ideal graph k-maximal ideal hypergraph complete planar Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f3210572814342d7853141af57559378
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spelling	oai:doaj.org-article:f3210572814342d7853141af575593782021-11-26T11:19:47ZIdeal based hypergraph of a commutative ring0972-86002543-347410.1080/09728600.2021.2007039https://doaj.org/article/f3210572814342d7853141af575593782021-11-01T00:00:00Zhttp://dx.doi.org/10.1080/09728600.2021.2007039https://doaj.org/toc/0972-8600https://doaj.org/toc/2543-3474Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements of is not equal to R. This article analyses some basic properties of and we have shown that is connected with diameter at most 2. Also, we discuss about the planarity and isomorphism ofV. C. AmrithaK. SelvakumarTaylor & Francis Grouparticleco-maximal ideal graphk-maximal ideal hypergraphcompleteplanarMathematicsQA1-939ENAKCE International Journal of Graphs and Combinatorics, Vol 0, Iss 0, Pp 1-6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	co-maximal ideal graph k-maximal ideal hypergraph complete planar Mathematics QA1-939
spellingShingle	co-maximal ideal graph k-maximal ideal hypergraph complete planar Mathematics QA1-939 V. C. Amritha K. Selvakumar Ideal based hypergraph of a commutative ring
description	Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements of is not equal to R. This article analyses some basic properties of and we have shown that is connected with diameter at most 2. Also, we discuss about the planarity and isomorphism of
format	article
author	V. C. Amritha K. Selvakumar
author_facet	V. C. Amritha K. Selvakumar
author_sort	V. C. Amritha
title	Ideal based hypergraph of a commutative ring
title_short	Ideal based hypergraph of a commutative ring
title_full	Ideal based hypergraph of a commutative ring
title_fullStr	Ideal based hypergraph of a commutative ring
title_full_unstemmed	Ideal based hypergraph of a commutative ring
title_sort	ideal based hypergraph of a commutative ring
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/f3210572814342d7853141af57559378
work_keys_str_mv	AT vcamritha idealbasedhypergraphofacommutativering AT kselvakumar idealbasedhypergraphofacommutativering
_version_	1718409571401203712

Ideal based hypergraph of a commutative ring

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