<?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>1794-9165</journal-id>
<journal-title><![CDATA[Ingeniería y Ciencia]]></journal-title>
<abbrev-journal-title><![CDATA[ing.cienc.]]></abbrev-journal-title>
<issn>1794-9165</issn>
<publisher>
<publisher-name><![CDATA[Escuela de Ciencias y Humanidades y Escuela de Ingeniería de la Universidad EAFIT]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-91652016000200031</article-id>
<article-id pub-id-type="doi">10.17230/ingciencia.12.24.2</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[K&#8722;álgebras finitas conmutativas con unidad]]></article-title>
<article-title xml:lang="en"><![CDATA[Finite Dimensional Commutative K&#8722;algebras with Unity]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Granados-Pinzón]]></surname>
<given-names><![CDATA[Claudia]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Olaya-León]]></surname>
<given-names><![CDATA[Wilson]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Industrial de Santander  ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Industrial de Santander  ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<volume>12</volume>
<numero>24</numero>
<fpage>31</fpage>
<lpage>49</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-91652016000200031&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-91652016000200031&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-91652016000200031&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo presentamos un estudio sobre las K&#8722;álgebras finitas, es decir las K&#8722;álgebras conmutativas con unidad que son espacios vectoriales de dimensión finita sobre un cuerpo K. Estas son suma directa de K&#8722;álgebras finitas locales. Caracterizamos la K&#8722;álgebra finita local  , mostramos que ciertas K&#8722;álgebras finitas son isomorfas y descomponemos la K&#8722;álgebra finita  en K&#8722;álgebras finitas locales.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This paper is devoted to the study of finite K&#8722;algebras i.e. the commutative K&#8722;algebras with unity that are finite dimensional vector space over a field K. A finite K&#8722;álgebra is direct sum of local finite K&#8722;algebras. We obtain a characterization of the local finite K&#8722;algebra  , show that certain finite K&#8722;álgebras are isomorphic and discompose the finite K&#8722;algebra  in local finite K&#8722;algebras.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[K&#8722;Álgebras de dimensión finita]]></kwd>
<kwd lng="es"><![CDATA[suma directa]]></kwd>
<kwd lng="es"><![CDATA[isomorfismos de álgebras]]></kwd>
<kwd lng="en"><![CDATA[Finite-dimensional algebras]]></kwd>
<kwd lng="en"><![CDATA[sum direct]]></kwd>
<kwd lng="en"><![CDATA[isomorphism of algebras]]></kwd>
</kwd-group>
</article-meta>
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