|
|
|
|
maximal ideal graph of commutative semirings
|
|
|
|
|
|
|
|
نویسنده
|
alwan ahmed h.
|
|
منبع
|
international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 1 - صفحه:913 -926
|
|
چکیده
|
In this paper a new kind of graph on a commutative semiring is introduced and investigated. the maximal ideal graph of s, denoted by mg(s), is a graph with all nontrivial ideals of s as vertices and two distinct vertices i and j are adjacent if and only if i + j is a maximal ideal of s. in this article, some interrelation between the graph theoretic properties of this graph and some algebraic properties of semirings are studied. we investigated the basic properties of the maximal ideal graph such as diameter, girth, clique number, cut vertex, planar property.
|
|
کلیدواژه
|
semiring ,maximal ideal ,the maximal ideal graph ,connectedness ,diameter ,girth ,planar property
|
|
آدرس
|
thi-qar university, faculty of education for pure sciences, department of mathematics, iraq
|
|
پست الکترونیکی
|
ahmedha_math@utq.edu.iq
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|