Total rings of fractions and Hermite rings
In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space...
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2020
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223 |
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| author | Granados Pinzón, Claudia Olaya León, Wilson |
| author_facet | Granados Pinzón, Claudia Olaya León, Wilson |
| author_sort | Granados Pinzón, Claudia |
| collection | OJS |
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In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space over a field K. We proof that the finite dimensional K−algebras are total rings of fractions and also Hermite rings. In addition, we show that direct product of fields is another example of total ring of fractions and Hermite ring.
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| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-10223 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2020 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-102232021-05-25T15:56:19Z Total rings of fractions and Hermite rings Anillos totales de fracciones y anillos de Hermite Granados Pinzón, Claudia Olaya León, Wilson Localización, producto directo de anillos, anillo de Hermite y $K-$álgebra finita. Localization, direct product of rings, Hermite ring and finite dimensional $K-$algebra In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space over a field K. We proof that the finite dimensional K−algebras are total rings of fractions and also Hermite rings. In addition, we show that direct product of fields is another example of total ring of fractions and Hermite ring. En este artículo se estudian propiedades generales de los anillos totales de fracciones y los anillos de Hermite. Por otra parte se encuentra una relación entre estos anillos y las K−álgebras finitas. Una K−álgebra finita es una álgebra conmutativa con unidad de dimensión finita como espacio vectorial sobre un cuerpo K. Más exactamente, se prueba que las K−álgebras finitas son anillos totales de fracciones y anillos de Hermite. Además, se muestra que el producto directo de cuerpos es también ejemplo de anillo total de fracciones y anillo de Hermite. Universidad Pedagógica y Tecnológica de Colombia 2020-07-08 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223 10.19053/01217488.v11.n2.2020.10223 Ciencia En Desarrollo; Vol. 11 No. 2 (2020): Vol 11, Núm.2 (2020): Julio-Diciembre; 131-140 Ciencia en Desarrollo; Vol. 11 Núm. 2 (2020): Vol 11, Núm.2 (2020): Julio-Diciembre; 131-140 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223/10289 Derechos de autor 2020 CIENCIA EN DESARROLLO |
| spellingShingle | Localización, producto directo de anillos, anillo de Hermite y $K-$álgebra finita. Localization, direct product of rings, Hermite ring and finite dimensional $K-$algebra Granados Pinzón, Claudia Olaya León, Wilson Total rings of fractions and Hermite rings |
| title | Total rings of fractions and Hermite rings |
| title_alt | Anillos totales de fracciones y anillos de Hermite |
| title_full | Total rings of fractions and Hermite rings |
| title_fullStr | Total rings of fractions and Hermite rings |
| title_full_unstemmed | Total rings of fractions and Hermite rings |
| title_short | Total rings of fractions and Hermite rings |
| title_sort | total rings of fractions and hermite rings |
| topic | Localización, producto directo de anillos, anillo de Hermite y $K-$álgebra finita. Localization, direct product of rings, Hermite ring and finite dimensional $K-$algebra |
| topic_facet | Localización, producto directo de anillos, anillo de Hermite y $K-$álgebra finita. Localization, direct product of rings, Hermite ring and finite dimensional $K-$algebra |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223 |
| work_keys_str_mv | AT granadospinzonclaudia totalringsoffractionsandhermiterings AT olayaleonwilson totalringsoffractionsandhermiterings AT granadospinzonclaudia anillostotalesdefraccionesyanillosdehermite AT olayaleonwilson anillostotalesdefraccionesyanillosdehermite |
