Sum-essential graphs of modules-Reference-Cited by-同舟云学术

Sum-essential graphs of modules

Published:2020-09-30 Issue:11 Volume:20 Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Matczuk Jerzy¹,Majidinya Ali²

Affiliation:

1. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland

2. Department of Mathematical Sciences, Salman Farsi University of Kazerun, Kazerun, Iran, P.O. Box 73175-457, Iran

Abstract

The sum-essential graph [Formula: see text] of a left [Formula: see text]-module [Formula: see text] is a graph whose vertices are all nontrivial submodules of [Formula: see text] and two distinct submodules are adjacent if and only if their sum is an essential submodule of [Formula: see text]. Properties of the graph [Formula: see text] and its subgraph [Formula: see text] induced by vertices which are not essential as submodules of [Formula: see text] are investigated. The interplay between module properties of [Formula: see text] and properties of those graphs is studied.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949882150211X

Reference10 articles.

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2. SOME RESULTS ON THE INTERSECTION GRAPHS OF IDEALS OF RINGS

3. INTERSECTION GRAPH OF SUBMODULES OF A MODULE

4. On a graph of ideals

5. The essential ideal graph of a commutative ring

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