Some Remarks on (INC(R))c

Document Type : Research Paper

Authors

1 Department of Applied Sciences, RK University, Rajkot-360020, Gujarat, India.

2 Department of Mathematics, Government Polytechnic, Rajkot-360003, Gujarat, India.

Abstract

Let R be a commutative ring with identity 1≠0 which admits atleast two maximal ideals. In this article, we have studied simple, undirected graph (INC(R))c whose vertex set is the set of all proper ideals which are not contained in J(R) and two distinct vertices I1 and I2 are joined by an edge in (INC(R))c if and only if I1⊆I2 or I2⊆I1. In this article, we have studied some interesting properties of (INC(R))c.

Keywords

References

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Algebraic Structures and Their Applications
Volume 9, Issue 2
August 2022
Pages 181-198

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