English

Second ideal intersection graph of a commutative ring

Commutative Algebra 2024-07-18 v3

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 IJI \cap J is a second ideal of R.

Keywords

Cite

@article{arxiv.2406.11387,
  title  = {Second ideal intersection graph of a commutative ring},
  author = {F. Farshadifar},
  journal= {arXiv preprint arXiv:2406.11387},
  year   = {2024}
}
R2 v1 2026-06-28T17:08:25.269Z