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Wagner’s Theory of Generalised Heaps [[electronic resource] /] / by Christopher D. Hollings, Mark V. Lawson



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Autore: Hollings Christopher D Visualizza persona
Titolo: Wagner’s Theory of Generalised Heaps [[electronic resource] /] / by Christopher D. Hollings, Mark V. Lawson Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (XV, 189 p. 19 illus.)
Disciplina: 512.2
Soggetto topico: Group theory
Mathematics
History
Differential geometry
Group Theory and Generalizations
History of Mathematical Sciences
Differential Geometry
Persona (resp. second.): LawsonMark V
Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Wagner’s Theory of Generalised Heaps  Visualizza cluster
ISBN: 3-319-63621-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254303203321
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