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Second ideal intersection graph of a commutative ring

Published 17 Jun 2024 in math.AC | (2406.11387v3)

Abstract: Let R be a commutative ring with identity. In this paper, we introduce and investigate the second ideal intersection graph SII(R) of R with vertices are non-zero proper ideals of R and two distinct vertices I and J are adjacent if and only if $I \cap J$ is a second ideal of R.

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