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001400072 020__ $$z9781466590199 (hardback)
001400072 020__ $$a9781466590205 (e-book)
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001400072 050_4 $$aQA181$$b.C46 2014
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001400072 1001_ $$aCho, Ilwoo.
001400072 24510 $$aAlgebras, graphs and their applications /$$cIlwoo Cho ; edited by Palle E.T. Jorgensen.
001400072 264_1 $$aBoca Raton :$$bCRC Press,$$c[2014]
001400072 264_4 $$c©2014
001400072 300__ $$a1 online resource (442 pages).
001400072 336__ $$atext$$2rdacontent
001400072 337__ $$acomputer$$2rdamedia
001400072 338__ $$aonline resource$$2rdacarrier
001400072 504__ $$aIncludes bibliographical references and index.
001400072 506__ $$aAccess limited to authorized users.
001400072 520__ $$a"Preface In this book, we consider algebra on directed graphs. From combinatorial objects, direct graphs, we establish corresponding algebraic objects which become groupoids. We call such groupoids graph groupoids. Connected with groupoid theory, we investigate the properties of graph groupoids. From this investigation, we can realize that graph groupoids act like the free groups in group theory. In other words, the study of graph groupoids is understood as groupoidal version of free-group theory. As application, we observe how graph groupoids are playing their role in different mathematical and scientific areas, including general groupoid theory, representation theory, automata theory, operator algebra (von Neumann algebra theory, C*-algebra theory, free probability, and index theory), noncommutative dynamical systems (groupoid dynamical systems), operator theory (spectral theory), fractal theory, information theory (entropy theory), and network theory, etc. We can check all operated groupoids (for instance, groupoid sums, product groupoids, quotient groupoids, etc) of graph groupoids are graph groupoids, too. This means that the study of operated groupoids of graph groupoids becomes nothing but studying other graph groupoids. It makes us easy to handle graph-groupoid related structures"--$$cProvided by publisher.
001400072 588__ $$aDescription based on print version record.
001400072 650_0 $$aGroupoids.
001400072 650_0 $$aOperator theory.
001400072 655_0 $$aElectronic books
001400072 7001_ $$aJrgensen, Palle E. T.,$$d1947-
001400072 77608 $$iPrint version:$$aCho, Ilwoo.$$tAlgebras, graphs and their applications.$$dBoca Raton : CRC Press, [2014]$$z9781466590199$$w(DLC)17725833
001400072 852__ $$bebk
001400072 85640 $$3ProQuest Ebook Central Academic Complete $$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=1375223$$zOnline Access
001400072 909CO $$ooai:library.usi.edu:1400072$$pGLOBAL_SET
001400072 980__ $$aBIB
001400072 980__ $$aEBOOK
001400072 982__ $$aEbook
001400072 983__ $$aOnline