<?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>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2015000200007</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Skew PBW Extensions of Baer, quasi-Baer, p.p. and p.q.-rings]]></article-title>
<article-title xml:lang="es"><![CDATA[Extensiones PBW torcidas de anillos de Baer, quasi-Baer, p.p. y p.q-Baer]]></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="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2015</year>
</pub-date>
<volume>33</volume>
<numero>2</numero>
<fpage>173</fpage>
<lpage>189</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2015000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2015000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2015000200007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The aim of this paper is to study skew Poincaré-Birkhoff-Witt extensions of Baer, quasi-Baer, p.p. and p.q.-Baer rings. Using a notion of rigidness, we prove that these properties are stable over this kind of extensions]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[El propósito de este artículo es estudiar las extensiones torcidas de Poincaré-Birkhoff-Witt de anillos de Baer, quasi-Baer, p.p. y p.q.-Baer. Utilizando una noción de rigidez, probamos que estas propiedades son estables para esta clase de extensiones]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Baer]]></kwd>
<kwd lng="en"><![CDATA[quasi-Baer]]></kwd>
<kwd lng="en"><![CDATA[p.p]]></kwd>
<kwd lng="en"><![CDATA[p.q]]></kwd>
<kwd lng="en"><![CDATA[Baer rings]]></kwd>
<kwd lng="en"><![CDATA[skew Poincaré- Birkhoff-Witt extensions]]></kwd>
<kwd lng="es"><![CDATA[Anillos Baer]]></kwd>
<kwd lng="es"><![CDATA[quasi-Baer]]></kwd>
<kwd lng="es"><![CDATA[p.p]]></kwd>
<kwd lng="es"><![CDATA[p.q.-Baer]]></kwd>
<kwd lng="es"><![CDATA[extensiones torcidas de Poincaré-Birkhoff-Witt]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[   <font size="2" face="Verdana">     <p align="center"><font size="4"><b><i>Skew PBW Extensions of Baer, quasi-Baer,    <br> p.p. and p.q.-rings</i></b></font></p>      <p align="center">ARMANDO REYES<sup>*</sup></p>       <p align="center">Universidad Nacional de Colombia, Departamento de Matem&aacute;ticas, Bogot&aacute;, Colombia.</p>  <hr>      <p align="justify"><b><i>Abstract.</i></b> The aim of this paper is to study skew Poincar&eacute;-Birkhoff-Witt extensions of Baer, quasi-Baer, p.p. and p.q.-Baer rings. Using a notion of rigidness, we prove that these properties are stable over this kind of extensions. </p>      <p align="justify"><b><i>Keywords:</i></b> Baer, quasi-Baer, p.p. and p.q.-Baer rings, skew Poincar&eacute;- Birkhoff-Witt extensions.    <br> <b><i>MSC2010:</i></b> 16E50, 16S36, 16D25.</p>  <hr>      <p align="center"><font size="3"><b><i>Extensiones PBW torcidas de anillos de Baer,    <br> quasi-Baer, p.p. y p.q-Baer</i></b></font></p>      ]]></body>
<body><![CDATA[<p align="justify"><b><i>Resumen.</i></b> El prop&oacute;sito de este art&iacute;culo es estudiar las extensiones torcidas de Poincar&eacute;-Birkhoff-Witt de anillos de Baer, quasi-Baer, p.p. y p.q.-Baer. Utilizando una noci&oacute;n de rigidez, probamos que estas propiedades son estables para esta clase de extensiones.</p>      <p align="justify"><b><i>Palabras clave:</i></b> Anillos Baer, quasi-Baer, p.p, p.q.-Baer, extensiones torcidas de Poincar&eacute;-Birkhoff-Witt.</p>  <hr>     <p align="justify">Texto Completo disponible en <a href = "pdf\rein\v33n2\v33n2a07.pdf" target="_blank">PDF</a></p> <hr>      <p align="left"><font size="3"><b><i>Referencias</i></b></font></p>      <!-- ref --><p align="justify">&#91;1&#93; Armendariz E.P., &quot;A note on extensions of Baer and p.p.-rings&quot;, <i>J. Austral. Math. Soc.</i> 18 (1974), 470-473.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000017&pid=S0120-419X201500020000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      <!-- ref --><p align="justify">&#91;2&#93; Armendariz E.P., Koo H.K. and Park J.K., &quot;Isomorphic Ore extensions&quot;, <i>Comm. Algebra</i> 15 (1987), No. 12, 2633-2652.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000019&pid=S0120-419X201500020000700002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      <!-- ref --><p align="justify">&#91;3&#93; Birkenmeier G.F., &quot;Baer rings and quasicontinuous rings have a MDSN&quot;, <i>Pacific J. Math.</i> 97 (1981), No. 2, 283-292.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000021&pid=S0120-419X201500020000700003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      ]]></body>
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<body><![CDATA[<p align="justify"><sup>*</sup>E-mail: <a href="mailto:mareyesv@unal.edu.co">mareyesv@unal.edu.co</a>    <br> Received: 25 September 2015, Accepted: 17 November 2015.    <br> To cite this article: A. Reyes, Skew PBW Extensions of Bear, quasi-Baer, p.p. and p.q.-rings, <i>Rev. Integr. Temas Mat.</i> 33 (2015), No. 2, 173-189.</p>  </font>      ]]></body><back>
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