ON LOCALLY UNIT REGULARITY CONDITIONS FOR ARBITRARY LEAVITT PATH ALGEBRAS

ÖZDİN, TUFAN

doi:10.1501/commua1_0000000857

ON LOCALLY UNIT REGULARITY CONDITIONS FOR ARBITRARY LEAVITT PATH ALGEBRAS

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.67, sa.2, ss.11-18, 2018 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 67 Sayı: 2
Basım Tarihi: 2018
Doi Numarası: 10.1501/commua1_0000000857
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.11-18
Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

Let 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.