Algebras, graphs and their applications / / Ilwoo Cho ; edited by Palle E.T. Jorgensen.
"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...
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Place / Publishing House: | Boca Raton : : CRC Press,, [2014] 2014 |
Year of Publication: | 2014 |
Language: | English |
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Physical Description: | 1 online resource (442 pages) |
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Cho, Ilwoo. Algebras, graphs and their applications / Ilwoo Cho ; edited by Palle E.T. Jorgensen. Boca Raton : CRC Press, [2014] 2014 1 online resource (442 pages) text rdacontent computer rdamedia online resource rdacarrier Includes bibliographical references and index. "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. Description based on print version record. Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. Groupoids. Operator theory. Electronic books. Jrgensen, Palle E. T., 1947- Print version: Cho, Ilwoo. Algebras, graphs and their applications. Boca Raton : CRC Press, [2014] xii, 427 pages 9781466590199 (DLC)17725833 ProQuest (Firm) https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1375223 Click to View |
language |
English |
format |
eBook |
author |
Cho, Ilwoo. |
spellingShingle |
Cho, Ilwoo. Algebras, graphs and their applications / |
author_facet |
Cho, Ilwoo. Jrgensen, Palle E. T., 1947- |
author_variant |
i c ic |
author2 |
Jrgensen, Palle E. T., 1947- |
author2_variant |
p e t j pet petj |
author2_role |
TeilnehmendeR |
author_sort |
Cho, Ilwoo. |
title |
Algebras, graphs and their applications / |
title_full |
Algebras, graphs and their applications / Ilwoo Cho ; edited by Palle E.T. Jorgensen. |
title_fullStr |
Algebras, graphs and their applications / Ilwoo Cho ; edited by Palle E.T. Jorgensen. |
title_full_unstemmed |
Algebras, graphs and their applications / Ilwoo Cho ; edited by Palle E.T. Jorgensen. |
title_auth |
Algebras, graphs and their applications / |
title_new |
Algebras, graphs and their applications / |
title_sort |
algebras, graphs and their applications / |
publisher |
CRC Press, |
publishDate |
2014 |
physical |
1 online resource (442 pages) |
isbn |
9781466590205 (e-book) 9781466590199 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA181 |
callnumber-sort |
QA 3181 C46 42014 |
genre |
Electronic books. |
genre_facet |
Electronic books. |
url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1375223 |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
511 - General principles of mathematics |
dewey-full |
511/.54 |
dewey-sort |
3511 254 |
dewey-raw |
511/.54 |
dewey-search |
511/.54 |
oclc_num |
858762581 |
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(MiAaPQ)5001375223 (Au-PeEL)EBL1375223 (CaPaEBR)ebr10759613 (CaONFJC)MIL518715 (OCoLC)858762581 |
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Algebras, graphs and their applications / |
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