1403/01/10
یحیی طالبی

یحیی طالبی

مرتبه علمی: استاد
ارکید: https://orcid.org/0000-0003-2311-4628
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی: بابلسر-پردیس دانشگاه مازندران- دانشکده علوم ریاضی- گروه ریاضی
تلفن: 01135302467

مشخصات پژوهش

عنوان
Co-intersection graph of submodules of a module
نوع پژوهش
JournalPaper
کلیدواژه‌ها
co-intersection graph, clique number, chromatic number
سال
2016
مجله Algebra and Discrete Mathematics
شناسه DOI
پژوهشگران Yahya Talebi ، Lotf ali Mahdavi

چکیده

Let M be a unitary left R-module where R is a ring with identity. The co-intersection graph of proper submodules of M , denoted by Ω(M ), is an undirected simple graph whose the vertex set V (Ω) is a set of all non-trivial submodules of M and there is an edge between two distinct vertices N and K if and only if N + K = M . In this paper we investigate connections between the graph-theoretic properties of Ω(M ) and some algebraic properties of modules . We characterize all of modules for which the co-intersection graph of submodules is connected. Also the diameter and the girth of Ω(M ) are determined. We study the clique number and the chromatic number of Ω(M ).