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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/165672026-10-18T20:36:27Zopenairedrivercom_ebyu_10000col_ebyu_10001

ON LOCALLY UNIT REGULARITY CONDITIONS FOR ARBITRARY LEAVITT PATH ALGEBRASOzdin, TufanLeavitt path algebravon Neumann regular ringlocally regular ringendomorphism ringMODULESRINGSGRAPHMathematicsLet Gamma be a graph, K be any field and S be the endomorphism ring of L := L-K (Gamma) considered as a right L-module. In this paper, we give defination of the left locally unit regular ring. We show that (1) if S is locally unit regular, then L is locally unit regular, (2) if L is morphic and image projective then S is left morphic, (3) S is a directly finite ring then L is directly finite, (4) if S is an exchange ring then L is directly finite and if L is a directly finite ring then L is an exchange ring.ANKARA UNIV, FAC SCI2018Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16567https://doi.org/10.1501/commua1_00000008571303-5991enCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16567