Title of article
THE SMALL INTERSECTION GRAPH RELATIVE TO MULTIPLICATION MODULES
Author/Authors
ansari-toroghy, h. university of guilan - department of mathematics, Rasht, Iran , farshadifar, f. university of farhangian - department of mathematics, Tehran, Iran , mahboobi-abkenar, f. university of guilan - department of mathematics, Rasht, Iran
From page
21
To page
32
Abstract
Let R be a commutative ring and let M be an Rmodule. We define the small intersection graph G(M) of M with all non-small proper submodules of M as vertices and two distinct vertices N, K are adjacent if and only if N ∩ K is a non-small submodule of M. In this article, we investigate the interplay between the graph-theoretic properties of G(M) and algebraic properties of M, where M is a multiplication module.
Keywords
Graph , non , small submodule , multiplication module
Journal title
Journal of Algebra and Related Topics
Journal title
Journal of Algebra and Related Topics
Record number
2592680
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