<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332024000200153</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v31i2.55788</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Sobre el umbral F-puro del ideal homogéneo máximo de un anillo de Stanley-Reisner]]></article-title>
<article-title xml:lang="en"><![CDATA[On the F-pure threshold of the homogeneous maximal ideal of a Stanley-Reisner ring]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Badilla-Céspedes]]></surname>
<given-names><![CDATA[Wágner]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México  Centro de Ciencias Matemáticas]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<volume>31</volume>
<numero>2</numero>
<fpage>153</fpage>
<lpage>165</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332024000200153&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332024000200153&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332024000200153&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En característica prima, el umbral F-puro es un invariante numérico que mide singularidades. Se conocen pocas estimaciones de este número. En esta nota, calculamos explícitamente el umbral F-puro del ideal homogéneo máximo en un anillo de Stanley-Reisner y demostramos que este número y la dimensión de escisión son iguales.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In prime characteristic, the F-pure threshold is a numerical invariant measuring singularities. Few estimates of this number are known. In this note, we explicitly compute the F-pure threshold of the homogeneous maximal ideal in a Stanley-Reisner ring and prove that this number and the splitting dimension are same.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Umbral F-puro]]></kwd>
<kwd lng="es"><![CDATA[Anillos de Stanley-Reisner]]></kwd>
<kwd lng="es"><![CDATA[Anillos de característica prima.]]></kwd>
<kwd lng="en"><![CDATA[F-pure threshold]]></kwd>
<kwd lng="en"><![CDATA[Stanley-Reisner rings]]></kwd>
<kwd lng="en"><![CDATA[Prime characteristic rings.]]></kwd>
</kwd-group>
</article-meta>
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