Poincaré series of semigroups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908461503086592 |
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| author | Campillo, Antonio Melgar, Raquel |
| author_facet | Campillo, Antonio Melgar, Raquel |
| contents | Many invariants of finitely generated positive cancelative commutative semigroups can be studied from their Poincaré series. We offer and present several closed formulas for them. Moreover, those formulas have elementary proofs and are presented in two distinct forms: one characterized in terms of simplicial complexes and the other by a purely set theoretical approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17818 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Poincaré series of semigroups Campillo, Antonio Melgar, Raquel Commutative Algebra Combinatorics Many invariants of finitely generated positive cancelative commutative semigroups can be studied from their Poincaré series. We offer and present several closed formulas for them. Moreover, those formulas have elementary proofs and are presented in two distinct forms: one characterized in terms of simplicial complexes and the other by a purely set theoretical approach. |
| title | Poincaré series of semigroups |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2410.17818 |