On conductor submonoids of factorial monoids
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913790410358784 |
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| author | Geroldinger, Alfred Yan, Weihao Zhong, Qinghai |
| author_facet | Geroldinger, Alfred Yan, Weihao Zhong, Qinghai |
| contents | We study algebraic and arithmetic properties of submonoids (resp. subrings) of factorial monoids (resp. factorial domains) whose non-invertible elements all lie in the conductor. This continues earlier work of Baeth, Cisto, et al.. On our way we answer several conjectures, formulated in their papers in the affirmative ([1,Conjecture 4.16] and [6, Conjectures 2.3 and 2.10, and Section 9]). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12712 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On conductor submonoids of factorial monoids Geroldinger, Alfred Yan, Weihao Zhong, Qinghai Commutative Algebra 13F05, 13F15, 13H10, 20M12, 20M13 We study algebraic and arithmetic properties of submonoids (resp. subrings) of factorial monoids (resp. factorial domains) whose non-invertible elements all lie in the conductor. This continues earlier work of Baeth, Cisto, et al.. On our way we answer several conjectures, formulated in their papers in the affirmative ([1,Conjecture 4.16] and [6, Conjectures 2.3 and 2.10, and Section 9]). |
| title | On conductor submonoids of factorial monoids |
| topic | Commutative Algebra 13F05, 13F15, 13H10, 20M12, 20M13 |
| url | https://arxiv.org/abs/2502.12712 |