Leavitt yol cebirlerinin endomorfizma halkalarının yerel birimlilik koşulları


Thesis Type: Postgraduate

Institution Of The Thesis: Erzincan Binali Yildirim University, Fen Bilimleri Enstitüsü, Mathematics, Turkey

Approval Date: 2021

Thesis Language: Turkish

Student: ELİF BAŞAK TÜRKOĞLU

Supervisor: Tufan Özdin

Abstract:

Let E be a directed graph, K any field, L ≔L_K (E) coefficients are Leavitt path algebras taken from field, K of the graph E and H≔End(L_L) be the endomorphism ring with units formed over the right modules of the Leavitt path algebras. In this study, the definition of the left locally unit regular ring is given. In addition, if H is a locally unit regular ring, L is a left and right regular local unit ring, if L is morphic and image-projective, H is also a left morphic, if H is a directly finite ring, L is a directly finite ring. Finally, it has been proved that if the H exchange ring is L is a directly finite ring and L is a directly finite ring, L must be an exchange ring.