<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-05T12:50:57Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/38173" metadataPrefix="mods">https://riuma.uma.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:riuma.uma.es:10630/38173</identifier><datestamp>2026-02-03T11:05:12Z</datestamp><setSpec>com_10630_2254</setSpec><setSpec>col_10630_37953</setSpec></header><metadata><mods:mods xmlns:doc="http://www.lyncode.com/xoai" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
   <mods:name>
      <mods:namePart>Martín-Barquero, Dolores</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Bock, Wolfgang</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Ruiz Campos, Iván</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Gil-Canto, Cristóbal</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Martín-González, Cándido</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Sebandal, Alfilgen</mods:namePart>
   </mods:name>
   <mods:extension>
      <mods:dateAvailable encoding="iso8601">2025-03-20T07:51:26Z</mods:dateAvailable>
   </mods:extension>
   <mods:extension>
      <mods:dateAccessioned encoding="iso8601">2025-03-20T07:51:26Z</mods:dateAccessioned>
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   <mods:originInfo>
      <mods:dateIssued encoding="iso8601">2024-10-24</mods:dateIssued>
   </mods:originInfo>
   <mods:identifier type="citation">Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González, Iván Ruiz Campos y Alfilgen Sebandal. The algebraic entropies of the Leavitt path algebra and the graph algebra agree. Results in Mathematics, 79:266 (2024).</mods:identifier>
   <mods:identifier type="uri">https://hdl.handle.net/10630/38173</mods:identifier>
   <mods:identifier type="doi">10.1007/s00025-024-02289-y</mods:identifier>
   <mods:abstract>In this note we prove that the algebras L_K(E) and KE have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The main argument leans on (1) the holomorphic functional calculus; (2) the relation of entropy with suitable norm of the adjacency matrix; and (3) the Cohn path algebras which yield suitable bounds for the algebraic entropies.</mods:abstract>
   <mods:language>
      <mods:languageTerm>eng</mods:languageTerm>
   </mods:language>
   <mods:accessCondition type="useAndReproduction">http://creativecommons.org/licenses/by/4.0/</mods:accessCondition>
   <mods:accessCondition type="useAndReproduction">open access</mods:accessCondition>
   <mods:accessCondition type="useAndReproduction">Attribution 4.0 Internacional</mods:accessCondition>
   <mods:subject>
      <mods:topic>Entropía</mods:topic>
   </mods:subject>
   <mods:subject>
      <mods:topic>Álgebra abstracta</mods:topic>
   </mods:subject>
   <mods:subject>
      <mods:topic>Teoría de grafos</mods:topic>
   </mods:subject>
   <mods:titleInfo>
      <mods:title>The algebraic entropies of the Leavitt path algebra and the graph algebra agree.</mods:title>
   </mods:titleInfo>
   <mods:genre>journal article</mods:genre>
</mods:mods>
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