<?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>S1794-91652020000100027</article-id>
<article-id pub-id-type="doi">10.17230/ingciencia.16.31.2</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A Survey on Some Algebraic Characterizations of Hilbert&#8217;s Nullstellensatz for Non-commutative Rings of Polynomial Type]]></article-title>
<article-title xml:lang="es"><![CDATA[Un estudio sobre algunas caracterizaciones algebraicas del teorema de ceros de Hilbert para anillos no conmutativos de tipo polinomial]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Reyes]]></surname>
<given-names><![CDATA[Armando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Mogollón]]></surname>
<given-names><![CDATA[Jason]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<volume>16</volume>
<numero>31</numero>
<fpage>27</fpage>
<lpage>52</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-91652020000100027&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-91652020000100027&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-91652020000100027&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this paper we present a survey of some algebraic characterizations of Hilbert&#8217;s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew Poincaré-Birkhoff-Witt extensions. Once this is done, we illustrate the Nullstellensatz with examples appearing in non-commutative ring theory and non-commutative algebraic geometry.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo presentamos un estudio sobre algunas caracterizaciones algebraicas del teorema de Nullstellensatz de Hilbert para anillos no conmutativos de tipo polinomial. Utilizando varios resultados establecidos en la literatura, obtuvimos una versión de este teorema para las extensiones de Poincaré-Birkhoff-Witt. Una vez hecho esto, ilustramos el Nullstellensatz con ejemplos que aparecen en la teoría de los anillos no conmutativa y en la geometría algebraica no conmutativa.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Hilbert&#8217;s Nullstellensatz]]></kwd>
<kwd lng="en"><![CDATA[skew PBW extension]]></kwd>
<kwd lng="en"><![CDATA[Jacobson ring]]></kwd>
<kwd lng="en"><![CDATA[generic flatness]]></kwd>
<kwd lng="es"><![CDATA[Teorema de ceros de Hilbert]]></kwd>
<kwd lng="es"><![CDATA[extensión PBW torcida]]></kwd>
<kwd lng="es"><![CDATA[anillo de Jacobson]]></kwd>
<kwd lng="es"><![CDATA[plenitud genérica]]></kwd>
</kwd-group>
</article-meta>
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