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020 a| 9781466590199 (hardback);

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100 1 a| Cho, Ilwoo.?| UNAUTHORIZED;

245 10 a| Algebras, graphs and their applicationsh| [electronic resource] /c| Ilwoo Cho, Department of Mathmatics, St. Ambros University, Davenport, Iowa, USA ; edited by Palle E. T. Jorgensen, University of Iowa City, USA.;

260 a| Boca Raton :b| CRC Press/Taylor & Francis Group,c| [2014];

300 a| xii, 431 pages ;c| 24 cm.;

504 a| Includes bibliographical references and index.;

506 a| Available only to authorized users.;

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"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Groupoids.=| ^A70219;

650 0 a| Operator theory.=| ^A48397;

650 7 a| MATHEMATICS / Algebra / General.2| bisacsh;

650 7 a| MATHEMATICS / Functional Analysis.2| bisacsh;

655 0 a| Electronic books.=| ^A491897;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=1375223;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

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Algebras, graphs and their applications / Ilwoo Cho, Department of Mathmatics, St. Ambros University, Davenport, Iowa, USA ; edited by Palle E. T. Jorgensen, University of Iowa City, USA.

Author/creator	Cho, Ilwoo
Format	Electronic
Publication Info	Boca Raton : CRC Press/Taylor & Francis Group, [2014]
Description	xii, 431 pages ; 24 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Groupoids. Operator theory.

Abstract	"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"-- Provided by publisher.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2013011776
ISBN	9781466590199 (hardback)

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Algebras, graphs and their applications / Ilwoo Cho, Department of Mathmatics, St. Ambros University, Davenport, Iowa, USA ; edited by Palle E. T. Jorgensen, University of Iowa City, USA.

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