Some results on the ideal-based cozero-divisor graph of a commutative ring
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915570979438592 |
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| author | Farshadifar, F. |
| author_facet | Farshadifar, F. |
| contents | Let R be a commutative ring with identity and I be an ideal of R. The cozero-divisor graph with respect to I, denoted by $Γ''_I(R)$, is the graph of R with vertices {x \in R -I :xR +I \not=R} and two distinct vertices $x$ and $y$ are adjacent if and only if $x \not \in yR+I$ and $y \not \in xR+I$.In this paper, we obtained some results on $Γ''_I(R)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some results on the ideal-based cozero-divisor graph of a commutative ring Farshadifar, F. Commutative Algebra Let R be a commutative ring with identity and I be an ideal of R. The cozero-divisor graph with respect to I, denoted by $Γ''_I(R)$, is the graph of R with vertices {x \in R -I :xR +I \not=R} and two distinct vertices $x$ and $y$ are adjacent if and only if $x \not \in yR+I$ and $y \not \in xR+I$.In this paper, we obtained some results on $Γ''_I(R)$. |
| title | Some results on the ideal-based cozero-divisor graph of a commutative ring |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2508.13222 |