<?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>2026-06-01T10:35:50Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/39080" metadataPrefix="marc">https://riuma.uma.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:riuma.uma.es:10630/39080</identifier><datestamp>2026-02-03T11:36:11Z</datestamp><setSpec>com_10630_2254</setSpec><setSpec>col_10630_37953</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
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      <subfield code="a">Gonçalves, Daniel</subfield>
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      <subfield code="a">Martín-Barquero, Dolores</subfield>
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      <subfield code="a">Martín-González, Cándido</subfield>
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      <subfield code="a">Siles-Molina, Mercedes</subfield>
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      <subfield code="c">2025-06-19</subfield>
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      <subfield code="a">We describe the centroid of some Leavitt path algebras. More precisely, for Leavitt&#xd;
path algebras over a field K, we show that if the algebra is simple, then its centroid is&#xd;
isomorphic to K, and if the algebra is prime, then its centroid is also isomorphic to K,&#xd;
except if the graph is a row-finite comet, in which case the centroid is isomorphic to&#xd;
K[x, x−1].</subfield>
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      <subfield code="a">Gonçalves, D., Barquero, D.M., González, C.M. et al. On the centroid of a Leavitt path algebra. J Algebr Comb 61, 48 (2025).</subfield>
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      <subfield code="a">0925-9899</subfield>
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      <subfield code="a">https://hdl.handle.net/10630/39080</subfield>
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      <subfield code="a">10.1007/s10801-025-01414-6</subfield>
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      <subfield code="a">Centro de masa</subfield>
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      <subfield code="a">Algebra</subfield>
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      <subfield code="a">Grafos, Teoría de</subfield>
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      <subfield code="a">On the centroid of a Leavitt path algebra.</subfield>
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