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Wagner's theory of generalised heaps [electronic resource]

Wagner's theory of generalised heaps [electronic resource]

Material type
E-Book(소장)
Personal Author
Hollings, Christopher, 1982-. Lawson, Mark V.
Title Statement
Wagner's theory of generalised heaps [electronic resource] / Christopher D. Hollings, Mark V. Lawson.
Publication, Distribution, etc
Cham :   Springer,   c2017.  
Physical Medium
1 online resource (xv, 189 p.) : ill.
ISBN
9783319636207 9783319636214 (e-book)
요약
The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.
General Note
Title from e-Book title page.  
Content Notes
1. Introduction -- 2. Viktor VladimirovichWagner (1908–1981) -- 3. Wagner’s work in historical context -- 4. Notes on the translations -- 5. A ternary algebraic operation in the theory of coordinate structures -- 6. On the theory of partial transformations -- 7. Generalised groups -- 8. Theory of generalised heaps and generalised groups -- 9. Generalised heaps as affine structures. - Wagner’s publications. –Index.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Inverse semigroups.
Short cut
URL
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008 190806s2017 sz a ob 001 0 eng d
020 ▼a 9783319636207
020 ▼a 9783319636214 (e-book)
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA174-183
082 0 4 ▼a 512.27 ▼2 23
084 ▼a 512.27 ▼2 DDCK
090 ▼a 512.27
100 1 ▼a Hollings, Christopher, ▼d 1982-.
245 1 0 ▼a Wagner's theory of generalised heaps ▼h [electronic resource] / ▼c Christopher D. Hollings, Mark V. Lawson.
260 ▼a Cham : ▼b Springer, ▼c c2017.
300 ▼a 1 online resource (xv, 189 p.) : ▼b ill.
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 1. Introduction -- 2. Viktor VladimirovichWagner (1908–1981) -- 3. Wagner’s work in historical context -- 4. Notes on the translations -- 5. A ternary algebraic operation in the theory of coordinate structures -- 6. On the theory of partial transformations -- 7. Generalised groups -- 8. Theory of generalised heaps and generalised groups -- 9. Generalised heaps as affine structures. - Wagner’s publications. –Index.
520 ▼a The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Inverse semigroups.
700 1 ▼a Lawson, Mark V.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-63621-4
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

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No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.27 Accession No. E14016263 Availability Loan can not(reference room) Due Date Make a Reservation Service M

Contents information

Table of Contents

1. Introduction.- 2. Viktor VladimirovichWagner (1908-1981).- 3. Wagner's work in historical context.- 4. Notes on the translations.- 5. A ternary algebraic operation in the theory of coordinate structures.- 6. On the theory of partial transformations.- 7. Generalised groups.- 8. Theory of generalised heaps and generalised groups.- 9. Generalised heaps as affine structures. - Wagner's publications. -Index.


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