Square-difference factor absorbing ideals of a commutative ring
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910348293963776 |
|---|---|
| author | Anderson, David F. Badawi, Ayman Coykendall, Jim |
| author_facet | Anderson, David F. Badawi, Ayman Coykendall, Jim |
| contents | Let $R$ be a commutative ring with $1 \neq 0$. A proper ideal $I$ of $R$ is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of $R$ if whenever $a^2 - b^2 \in I$ for $0 \neq a, b \in R$, then $a + b \in I$ or $a - b \in I$. In this paper, we introduce and investigate sdf-absorbing ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Square-difference factor absorbing ideals of a commutative ring Anderson, David F. Badawi, Ayman Coykendall, Jim Commutative Algebra 13A15, 13F05, 13G05 Let $R$ be a commutative ring with $1 \neq 0$. A proper ideal $I$ of $R$ is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of $R$ if whenever $a^2 - b^2 \in I$ for $0 \neq a, b \in R$, then $a + b \in I$ or $a - b \in I$. In this paper, we introduce and investigate sdf-absorbing ideals. |
| title | Square-difference factor absorbing ideals of a commutative ring |
| topic | Commutative Algebra 13A15, 13F05, 13G05 |
| url | https://arxiv.org/abs/2402.18704 |