Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 2
ON LOCALLY UNIT REGULARITY CONDITIONS FOR ARBITRARY LEAVITT PATH ALGEBRAS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 11–18
- DOI
- —
Abstract
Let be a graph, K be any field and S be the endomorphismring of L := LK() considered as a right L-modulefi In this paper, we givedefination of the left locally unit regular ring. We show that (1) if S is locallyunit regular, then L is locally unit regular, (2) if L is morphic and imageprojective then S is left morphic, (3) S is a directly finite ring then L isdirectly finite, (4) if S is an exchange ring then L is directly finite and if L isa direct finite ring then L is an exchange ring.