Second ideal intersection graph of a commutative ring
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914874127286272 |
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| author | Farshadifar, F. |
| author_facet | Farshadifar, F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11387 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second ideal intersection graph of a commutative ring Farshadifar, F. Commutative Algebra 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. |
| title | Second ideal intersection graph of a commutative ring |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2406.11387 |