Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1394
1
1
gregorian
2015
4
1
10
1
online
1
fulltext
en
Associated Graphs of Modules Over Commutative Rings
تخصصي
Special
پژوهشي
Research paper
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between the algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete, tree or complete bipartite are studied and several characterizations are given.
Associated Graph of module, Prime spectrum, Connected graph, Diameter.
45
58
http://ijmsi.ir/browse.php?a_code=A-10-438-1&slc_lang=en&sid=1
A.
Abbasi
aabbasi@guilan.ac.ir
10031947532846006252
10031947532846006252
Yes
Uni. Guilan
H.
Roshan-Shekalgourabi
hroshan@guilan.ac.ir
10031947532846006253
10031947532846006253
No
Uni. Guilan
D.
Hassanzadeh-Lelekaami
dhmath@guilan.ac.ir
10031947532846006254
10031947532846006254
No
Uni. Guilan