Some Properties of the Nil-Graphs of Ideals of Commutative Rings

Let R be a commutative ring with identity and Nil(R) be the set of nilpotent elements of R. The nil-graph of ideals of R is defined as the graph AG_N(R) whose vertex set is {I:(0)and there exists a non-trivial ideal  such that  and two distinct vertices  and  are adjacent if and only if . Here, we s...

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Bibliographic Details
Main Author: Reza Nikandish
Format: Article
Language:fas
Published: Kharazmi University 2022-12-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-3071-en.html