On intersection minimal ideal graph of a ring

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Barman Bikash; Rajkhowa Kukil Kalpa

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Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2025 | Volume:12 | Issue:1 Page(s): 1-9

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Information Journal Paper

Title

On intersection minimal ideal graph of a ring

Author(s)

Barman Bikash | Rajkhowa Kukil Kalpa | Issue Writer Certificate

Keywords

Essential Ideal

Minimal Ideal

Socle

Abstract

For a ring R, the intersection Minimal Ideal graph, denoted by ∧(R), is a simple undirected graph whose vertices are proper non-zero (right) ideals of R and any two distinct vertices I1 and I2 are adjacent if and only if I1 ∩ I2 is a Minimal Ideal of R. In this article, we explore connectedness, clique number, split character, planarity, independence number, domination number of ∧(R).

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