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Titlebook: Wagner’s Theory of Generalised Heaps; Christopher D. Hollings,Mark V. Lawson Book 2017 The Author(s), under exclusive licence to Springer

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书目名称Wagner’s Theory of Generalised Heaps
编辑Christopher D. Hollings,Mark V. Lawson
视频video
概述Presents original discussion, insight and contextual development of Wagner’s work.Illuminates modern relevance through applications to current mathematical research.Serves as a reference for Wagner‘s
图书封面Titlebook: Wagner’s Theory of Generalised Heaps;  Christopher D. Hollings,Mark V. Lawson Book 2017 The Author(s), under exclusive licence to Springer
描述.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.
出版日期Book 2017
关键词V; V; Wagner; generalised groups; differential geometry; inverse semigroups; Historic mathematics; binary
版次1
doihttps://doi.org/10.1007/978-3-319-63621-4
isbn_softcover978-3-319-87597-2
isbn_ebook978-3-319-63621-4
copyrightThe Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nat
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Generalised Groups,ies. Turning to semigroups of partial transformations, Wagner noted that the semigroup of all one-to-one partial transformations of a set forms a generalised group, and, moreover, that any generalised group may be represented as one of these, a result now termed the ..
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A Ternary Algebraic Operation in the Theory of Coordinate Structures, A . K on . is a subset of .. A ternary operation can be defined in . by (......) = ......., where. indicates the inverse of an injective partial mapping. Wagner’s main interest was in those coordinate structures that have closure properties with respect to this operation. The purpose of this paper
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On the Theory of Partial Transformations,ting the collection of all such relations by .. He noted that the latter forms a semigroup under composition of binary relations; this semigroup is ordered by set inclusion and, moreover, has a natural involution, via which any binary relation is sent to its inverse. Wagner called a subset of . . if
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On the Theory of Partial Transformations,ting the collection of all such relations by .. He noted that the latter forms a semigroup under composition of binary relations; this semigroup is ordered by set inclusion and, moreover, has a natural involution, via which any binary relation is sent to its inverse. Wagner called a subset of . . if
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