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Wagner’s Theory of Generalised Heaps / by Christopher D. Hollings, Mark V. Lawson
版 | 1st ed. 2017. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2017 |
本文言語 | 英語 |
大きさ | XV, 189 p. 19 illus : online resource |
著者標目 | *Hollings, Christopher D author Lawson, Mark V author SpringerLink (Online service) |
件 名 | LCSH:Group theory LCSH:Mathematics LCSH:History LCSH:Geometry, Differential FREE:Group Theory and Generalizations FREE:History of Mathematical Sciences FREE:Differential Geometry |
一般注記 | 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 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-daymathematics where ideas related to Wagner’s have found fruitful applications HTTP:URL=https://doi.org/10.1007/978-3-319-63621-4 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319636214 |
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電子リソース |
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EB00237370 |
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