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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.02299 |
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| _version_ | 1866916380990767104 |
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| author | Marín-Aragón, D. Tapia-Ramos, R. |
| author_facet | Marín-Aragón, D. Tapia-Ramos, R. |
| contents | Let $C\subset\mathbb{N}^p$ be an integer polyhedral cone. An affine semigroup $S\subset C$ is a $ C$-semigroup if $| C\setminus S|<+\infty$. This structure has always been studied using a monomial order. The main issue is that the choice of these orders is arbitrary. In the present work we choose the order given by the semigroup itself, which is a more natural order. This allows us to generalise some of the definitions and results known from numerical semigroup theory to $C$-semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02299 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | C-semigroups with its induced order Marín-Aragón, D. Tapia-Ramos, R. Commutative Algebra Let $C\subset\mathbb{N}^p$ be an integer polyhedral cone. An affine semigroup $S\subset C$ is a $ C$-semigroup if $| C\setminus S|<+\infty$. This structure has always been studied using a monomial order. The main issue is that the choice of these orders is arbitrary. In the present work we choose the order given by the semigroup itself, which is a more natural order. This allows us to generalise some of the definitions and results known from numerical semigroup theory to $C$-semigroups. |
| title | C-semigroups with its induced order |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2409.02299 |