Algebras, graphs and their applications
(eBook)
Author
Contributors
Published
Boca Raton : CRC Press, [2014].
Physical Desc
1 online resource (442 pages)
Status
More Details
Format
eBook
Language
English
ISBN
9781466590205 (e-book)
Notes
Bibliography
Includes bibliographical references and index.
Description
"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.
Local note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Citations
APA Citation, 7th Edition (style guide)
Cho, I., & Jrgensen, P. E. T. (2014). Algebras, graphs and their applications . CRC Press.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Cho, Ilwoo and Palle E. T. Jrgensen. 2014. Algebras, Graphs and Their Applications. CRC Press.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Cho, Ilwoo and Palle E. T. Jrgensen. Algebras, Graphs and Their Applications CRC Press, 2014.
MLA Citation, 9th Edition (style guide)Cho, Ilwoo., and Palle E. T. Jrgensen. Algebras, Graphs and Their Applications CRC Press, 2014.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
Staff View
Grouped Work ID
75e9a6d4-52f9-7e9c-4d70-cacd5dfac112-eng
Grouping Information
Grouped Work ID | 75e9a6d4-52f9-7e9c-4d70-cacd5dfac112-eng |
---|---|
Full title | algebras graphs and their applications |
Author | cho ilwoo |
Grouping Category | book |
Last Update | 2022-07-08 14:58:02PM |
Last Indexed | 2024-04-24 03:56:17AM |
Book Cover Information
Image Source | syndetics |
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First Loaded | Jul 12, 2022 |
Last Used | Feb 5, 2024 |
Marc Record
First Detected | Jul 08, 2022 04:32:51 PM |
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Last File Modification Time | Jul 08, 2022 04:32:51 PM |
MARC Record
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100 | 1 | |a Cho, Ilwoo. | |
245 | 1 | 0 | |a Algebras, graphs and their applications /|c Ilwoo Cho ; edited by Palle E.T. Jorgensen. |
264 | 1 | |a Boca Raton :|b CRC Press,|c [2014] | |
264 | 4 | |c ©2014 | |
300 | |a 1 online resource (442 pages) | ||
336 | |a text|2 rdacontent | ||
337 | |a computer|2 rdamedia | ||
338 | |a online resource|2 rdacarrier | ||
504 | |a Includes bibliographical references and index. | ||
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. | ||
588 | |a Description based on print version record. | ||
590 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
650 | 0 | |a Groupoids. | |
650 | 0 | |a Operator theory. | |
655 | 4 | |a Electronic books. | |
700 | 1 | |a Jrgensen, Palle E. T.,|d 1947- | |
776 | 0 | 8 | |i Print version:|a Cho, Ilwoo.|t Algebras, graphs and their applications.|d Boca Raton : CRC Press, [2014]|h xii, 427 pages|z 9781466590199|w (DLC)17725833 |
797 | 2 | |a ProQuest (Firm) | |
856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yavapai-ebooks/detail.action?docID=1375223|x Yavapai College|y Yavapai College users click here |
856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/prescottcollege-ebooks/detail.action?docID=1375223|x Prescott College|y Prescott College users click here<U+000a> |
856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yln-ebooks/detail.action?docID=1375223|x Yavapai Library Network|y All other users click here |