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Structure of leavitt path algebras of graphs / Fatma Elzahra'a Goma'a Abdelhalim ; Supervised Nefertiti Megahed , Gonzalo Aranda Pino , Tarek Sayed Ahmed

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Fatma Elzahra'a Goma'a Abdelhalim , 2014Description: 136 P. ; 25cmOther title:
  • بناء جبر المسار ل "لفيت" للأشكال [Added title page title]
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  • Issued also as CD
Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics Summary: 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
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Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2014.Fa.S (Browse shelf(Opens below)) Not for loan 01010110064068000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2014.Fa.S (Browse shelf(Opens below)) 64068.CD Not for loan 01020110064068000

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

Issued also as CD

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