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OPERATORS ON REGULAR RINGS OF LEAVITT PATH ALGEBRASÖzdin, Tufanassociated elementsLeavitt path algebrapartial ordershorted operatorunit-regular ringvon Neumann regular ringIn [8, Theorem 1], Jain and Prasad obtained a kind of symmetry of regular rings which is interesting and useful in the theory of shorted operators (cf. [9]). We show that this symmetry property indeed holds for endo-morphism rings of Leavitt path algebras. Using this property, we analyze a (strong/weak) regular inverse of an element of the regular the endomorphism ring A of the Leavitt path algebra L:= LK (E) (viewed as a right L-module). We also introduce some partial orders on the endomorphism ring A of the Leavitt path algebra L and investigate the behavior of regular elements in A. © 2023, Transilvania University of Brasov 1. All rights reserved.Transilvania University of Brasov 12023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12468https://doi.org/10.31926/but.mif.2023.3.65.1.132810-2029enBulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Scienceinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12468