<?xml version="1.0" encoding="UTF-8"?><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>2026-10-19T01:56:54Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/14137" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/14137</identifier><datestamp>2026-10-18T20:36:45Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>On endomorphism rings of leavitt path algebras</dc:title><dc:creator>Özdin, Tufan</dc:creator><dc:subject>Dependent ring</dc:subject><dc:subject>Endomorphism ring</dc:subject><dc:subject>Leavitt (path) algebra</dc:subject><dc:subject>Von Neumann regular ring</dc:subject><dc:description>Let E be an arbitrary graph, K be any field and A be the endomorphism ring of L:= LK (E) considered as a right L-module. Among the other results, we prove that: (1) if A is a von Neumann regular ring, then A is dependent if and only if for any two paths in L satisfying some conditions are initial of each other, (2) if A is dependent then LK (E) is morphic, (3) L is morphic and von Neumann regular if and only if L is semisimple and every homogeneous component is artinian. © 2018, University of Nis. All rights reserved.</dc:description><dc:publisher>University of Nis</dc:publisher><dc:date>2018</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/14137</dc:identifier><dc:identifier>https://doi.org/10.2298/fil1804175o</dc:identifier><dc:identifier>0354-5180</dc:identifier><dc:language>en</dc:language><dc:relation>Filomat</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/14137</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>