Classification of Boolean algebras through von Neumann regular C∞−rings
In this paper, we introduce the concept of a “von Neumann regular C∞-ring”, which is a model for a specific equational theory. We delve into the characteristics of these rings and demonstrate that each Boolean space can be effectively represented as the image of a von Neumann regular C∞-ring through...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2024 |
| País: | Brasil |
| Recursos: | Universidade Estadual Paulista (UNESP) |
| Repositório: | Repositório Institucional da UNESP |
| Idioma: | inglês |
| OAI Identifier: | oai:repositorio.unesp.br:11449/306408 |
| Acesso em linha: | http://dx.doi.org/10.48308/cgasa.21.1.211 https://hdl.handle.net/11449/306408 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Boolean algebras C∞−Rings Stone duality Von Neumann Regular Rings |
| Resumo: | In this paper, we introduce the concept of a “von Neumann regular C∞-ring”, which is a model for a specific equational theory. We delve into the characteristics of these rings and demonstrate that each Boolean space can be effectively represented as the image of a von Neumann regular C∞-ring through a specific functor. Additionally, we establish that every homomorphism between Boolean algebras can be expressed through a C∞ring homomorphism between von Neumann regular C∞-rings. |
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