Estimation of the cardinality of the maximal spectrum of a product of fields
In this paper we show general properties of a product of commutative rings with unity. We obtain a characterization of the prime spectrum of a sum of rings and if we consider a product of fields them its spectrum is T1, or equivalently, it is Hausdorff. Finally we estimate the card...
| Main Authors: | , , |
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| Format: | Online |
| Language: | spa |
| Published: |
Universidad Pedagógica y Tecnológica de Colombia
2018
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5946 |
| _version_ | 1801706338676375552 |
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| author | Granados Pinzón, Claudia Olaya León, Wilson Pinzón Durán, Sofía |
| author_facet | Granados Pinzón, Claudia Olaya León, Wilson Pinzón Durán, Sofía |
| author_sort | Granados Pinzón, Claudia |
| collection | OJS |
| description | In this paper we show general properties of a product of commutative rings with unity. We obtain a characterization of the prime spectrum of a sum of rings and if we consider a product of fields them its spectrum is T1, or equivalently, it is Hausdorff. Finally we estimate the cardinality of the maximal spectrum of a product of fields. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-5946 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2018 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-59462020-11-11T02:08:01Z Estimation of the cardinality of the maximal spectrum of a product of fields Estimación del cardinal del espectro maximal de un producto infinito de cuerpos Granados Pinzón, Claudia Olaya León, Wilson Pinzón Durán, Sofía localización producto directo de anillos espectro primo y maximal álgebra Localization direct product of rings prime and maximal spectrum In this paper we show general properties of a product of commutative rings with unity. We obtain a characterization of the prime spectrum of a sum of rings and if we consider a product of fields them its spectrum is T1, or equivalently, it is Hausdorff. Finally we estimate the cardinality of the maximal spectrum of a product of fields. En este artículo presentamos propiedades generales de un producto de anillos conmutativos con unidad. Caracterizamos el espectro primo y maximal de una suma de anillos y probamos que el espectro de un producto de cuerpos es T1, o equivalentemente, que es Hausdorff. Por último, estimamos el cardinal del espectro maximal de un producto de cuerpos. Universidad Pedagógica y Tecnológica de Colombia 2018-07-04 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5946 10.19053/01217488.v9.n2.2018.5946 Ciencia En Desarrollo; Vol. 9 No. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 83-93 Ciencia en Desarrollo; Vol. 9 Núm. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 83-93 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5946/7261 Derechos de autor 2018 CIENCIA EN DESARROLLO |
| spellingShingle | localización producto directo de anillos espectro primo y maximal álgebra Localization direct product of rings prime and maximal spectrum Granados Pinzón, Claudia Olaya León, Wilson Pinzón Durán, Sofía Estimation of the cardinality of the maximal spectrum of a product of fields |
| title | Estimation of the cardinality of the maximal spectrum of a product of fields |
| title_alt | Estimación del cardinal del espectro maximal de un producto infinito de cuerpos |
| title_full | Estimation of the cardinality of the maximal spectrum of a product of fields |
| title_fullStr | Estimation of the cardinality of the maximal spectrum of a product of fields |
| title_full_unstemmed | Estimation of the cardinality of the maximal spectrum of a product of fields |
| title_short | Estimation of the cardinality of the maximal spectrum of a product of fields |
| title_sort | estimation of the cardinality of the maximal spectrum of a product of fields |
| topic | localización producto directo de anillos espectro primo y maximal álgebra Localization direct product of rings prime and maximal spectrum |
| topic_facet | localización producto directo de anillos espectro primo y maximal álgebra Localization direct product of rings prime and maximal spectrum |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5946 |
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