Fatma Elzahra'a Goma'a Abdelhalim

Structure of leavitt path algebras of graphs / بناء جبر المسار ل "لفيت" للأشكال Fatma Elzahra'a Goma'a Abdelhalim ; Supervised Nefertiti Megahed , Gonzalo Aranda Pino , Tarek Sayed Ahmed - Cairo : Fatma Elzahra'a Goma'a Abdelhalim , 2014 - 136 P. ; 25cm

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

In this thesis, we study some properties of leavitt path algebras over countable row - finite graphs and show how these properties can be transferred to arbitrary (countable and uncountable) graphs. Leavitt path algebras are specific types of path K- algebras (where K is an arbitrary field) associated to a graph E, modulo some relations. Its appearance for row - finite countable graphs (i.e. countable graphs in which each vertex emits at most a finite number of edges) took place in [1] and [12]. They have become a subject of significant interest both for algebraists and analysts working in C*- algebras



Exchange Leavitt path algebras Purely infinite simple