|
|
|
|
THE SMALL INTERSECTION GRAPH RELATIVE TO MULTIPLICATION MODULES
|
|
|
|
|
|
|
|
نویسنده
|
ansari-toroghy h. ,farshadifar f. ,mahboobi-abkenar f.
|
|
منبع
|
journal of algebra and related topics - 2016 - دوره : 4 - شماره : 1 - صفحه:21 -32
|
|
چکیده
|
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.
|
|
کلیدواژه
|
Graph ,non-small submodule ,multiplication module
|
|
آدرس
|
university of guilan, department of mathematics, Iran, university of farhangian, department of mathematics, Iran, university of guilan, department of mathematics, Iran
|
|
پست الکترونیکی
|
mahboobi@phd.guilan.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|