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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2401.12766 |
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| _version_ | 1866910306139111424 |
|---|---|
| author | Fernandes, Bruno Moreira |
| author_facet | Fernandes, Bruno Moreira |
| contents | We introduce a new concept in the Absorbing Ideal Theory in commutative rings, that is, the $ω$-stable groups. We will provide examples and non-examples of these groups, and establish their relationship with H-congruence. Ultimately, we will study the action of these groups considering the transitivity condition |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12766 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absorbing ideals: a survey on $ω$-stable groups Fernandes, Bruno Moreira Commutative Algebra 13A15, 13A50 We introduce a new concept in the Absorbing Ideal Theory in commutative rings, that is, the $ω$-stable groups. We will provide examples and non-examples of these groups, and establish their relationship with H-congruence. Ultimately, we will study the action of these groups considering the transitivity condition |
| title | Absorbing ideals: a survey on $ω$-stable groups |
| topic | Commutative Algebra 13A15, 13A50 |
| url | https://arxiv.org/abs/2401.12766 |