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Wagner's Theory of Generalised Heaps (Hardcover, 1st ed. 2017)
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Wagner's Theory of Generalised Heaps (Hardcover, 1st ed. 2017)
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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.
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