<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-7488</journal-id>
<journal-title><![CDATA[Ciencia en Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ciencia en Desarrollo]]></abbrev-journal-title>
<issn>0121-7488</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-74882020000200125</article-id>
<article-id pub-id-type="doi">10.19053/01217488.v11.n2.2020.10223</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Anillos totales de fracciones y anillos de Hermite]]></article-title>
<article-title xml:lang="en"><![CDATA[Total rings of fractions and Hermite rings]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Granados Pinzón]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Olaya León]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Industrial de Santander Escuela de Matemáticas ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Industrial de Santander Escuela de Matemáticas ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<volume>11</volume>
<numero>2</numero>
<fpage>125</fpage>
<lpage>134</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-74882020000200125&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-74882020000200125&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-74882020000200125&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen 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.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract 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.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Localización]]></kwd>
<kwd lng="es"><![CDATA[producto directo de anillos]]></kwd>
<kwd lng="es"><![CDATA[anillo de Hermite y K-álgebra finita]]></kwd>
<kwd lng="en"><![CDATA[Localization]]></kwd>
<kwd lng="en"><![CDATA[direct product of rings]]></kwd>
<kwd lng="en"><![CDATA[Hermite ring and finite dimensional K-algebra]]></kwd>
</kwd-group>
</article-meta>
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