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Algebra VI
English
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§Dieser Band der Encyclopaedia enthält zwei Beiträge, einen zu kombinatorischen und asymptotischen Methoden in der Algebra und einen über nichtassoziative Strukturen. Beide sind Übersichtsartikel, die sich an einen breiteren Leserkreis als den der Spezialisten wenden. Obwohl die Themen der Algebra zuzurechnen sind, haben sie auch Beziehungen zur Topologie, Differentialgeometrie, Computeralgebra und Quantenphysik. Für Forscher und Studenten im Hauptstudium in der Mathematik, der Informatik und der theoretischen Physik wird das Buch eine wertvolle Unterstützung bei Ihrer Arbeit sein. §"Non-Associative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of non-associative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is self-contained and complete with references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics.
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