Conjectura de Wilf para semigrupos numéricos generalizados
A numerical semigroups is a submonoid of non-negative integers whose complement is finite. Generalizing this concept a generalized numerical semigroup is a submonoid of $\mathbb{N}^d$ whose the complement is finite. In the context of numerical semigroups, the study about Wilf's Conjecture broug...
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| Format: | master thesis |
| Status: | Published version |
| Publication Date: | 2023 |
| Country: | Brasil |
| Institution: | Universidade Federal de Uberlândia (UFU) |
| Repository: | Repositório Institucional da UFU |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.ufu.br:123456789/37593 |
| Online Access: | https://repositorio.ufu.br/handle/123456789/37593 http://doi.org/10.14393/ufu.di.2023.31 |
| Access Level: | Open access |
| Keyword: | Semigrupos Numéricos Generalizados Conjectura de Wilf Conjectura de Wilf Generalizada Conjectura de Wilf Estendida Wilf's Conjecture Generalized Numerical Semigroups Generalized Wilf's Conjecture Extend Wilf Conjecture CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA Matemática |
| Summary: | A numerical semigroups is a submonoid of non-negative integers whose complement is finite. Generalizing this concept a generalized numerical semigroup is a submonoid of $\mathbb{N}^d$ whose the complement is finite. In the context of numerical semigroups, the study about Wilf's Conjecture brought new ways of thinking about monoids and remain open problems. In this work we will show a generalization to the Wilf's Conjecture and we proving it to several families of generalized numerical semigroups and show their relationship with the natural generalization proposed by García-García, Marín-Aragón and Vigneron-Tenorio. |
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