On the quotient of affine semigroups by a positive integer
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914684740829184 |
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| author | García-García, J. I. Tapia-Ramos, R. Vigneron-Tenorio, A. |
| author_facet | García-García, J. I. Tapia-Ramos, R. Vigneron-Tenorio, A. |
| contents | This work delves into the {\it quotient of an affine semigroup by a positive integer}, exploring its intricate properties and broader implications. We unveil an {\it associated tree} that serves as a valuable tool for further analysis. Moreover, we successfully generalize several key irreducibility results, extending their applicability to the more general class of $\mathcal C$-semigroup quotients. To shed light on these concepts, we introduce the novel notion of an {\it arithmetic variety of affine semigroups}, accompanied by illuminating examples that showcase its power. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09159 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the quotient of affine semigroups by a positive integer García-García, J. I. Tapia-Ramos, R. Vigneron-Tenorio, A. Commutative Algebra Number Theory This work delves into the {\it quotient of an affine semigroup by a positive integer}, exploring its intricate properties and broader implications. We unveil an {\it associated tree} that serves as a valuable tool for further analysis. Moreover, we successfully generalize several key irreducibility results, extending their applicability to the more general class of $\mathcal C$-semigroup quotients. To shed light on these concepts, we introduce the novel notion of an {\it arithmetic variety of affine semigroups}, accompanied by illuminating examples that showcase its power. |
| title | On the quotient of affine semigroups by a positive integer |
| topic | Commutative Algebra Number Theory |
| url | https://arxiv.org/abs/2402.09159 |