2010, ISBN: 9048144744

[EAN: 9789048144747], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. A partially ordered group is an algebraic object having the structure of a group and the str… Meer...

[EAN: 9789048144747], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natural way. These connections were established in the period between the end of 19th and beginning of 20th century. It was realized that ordered algebraic systems occur in various branches of mathemat ics bound up with its fundamentals. For example, the classification of infinitesimals resulted in discovery of non-archimedean ordered al gebraic systems, the formalization of the notion of real number led to the definition of ordered groups and ordered fields, the construc tion of non-archimedean geometries brought about the investigation of non-archimedean ordered groups and fields. The theory of partially ordered groups was developed by: R. Dedekind, a. Holder, D. Gilbert, B. Neumann, A. I. Mal'cev, P. Hall, G. Birkhoff. These connections between partial order and group operations allow us to investigate the properties of partially ordered groups. For exam ple, partially ordered groups with interpolation property were intro duced in F. Riesz's fundamental paper [1] as a key to his investigations of partially ordered real vector spaces, and the study of ordered vector spaces with interpolation properties were continued by many functional analysts since. The deepest and most developed part of the theory of partially ordered groups is the theory of lattice-ordered groups. In the 40s, following the publications of the works by G. Birkhoff, H. Nakano and P. Softcover reprint of hardcover 1st ed. 1994., Books<

2010, ISBN: 9048144744

[EAN: 9789048144747], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. A partially ordered group is an algebraic object having the structure of a group and the str… Meer...

[EAN: 9789048144747], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natural way. These connections were established in the period between the end of 19th and beginning of 20th century. It was realized that ordered algebraic systems occur in various branches of mathemat ics bound up with its fundamentals. For example, the classification of infinitesimals resulted in discovery of non-archimedean ordered al gebraic systems, the formalization of the notion of real number led to the definition of ordered groups and ordered fields, the construc tion of non-archimedean geometries brought about the investigation of non-archimedean ordered groups and fields. The theory of partially ordered groups was developed by: R. Dedekind, a. Holder, D. Gilbert, B. Neumann, A. I. Mal'cev, P. Hall, G. Birkhoff. These connections between partial order and group operations allow us to investigate the properties of partially ordered groups. For exam ple, partially ordered groups with interpolation property were intro duced in F. Riesz's fundamental paper [1] as a key to his investigations of partially ordered real vector spaces, and the study of ordered vector spaces with interpolation properties were continued by many functional analysts since. The deepest and most developed part of the theory of partially ordered groups is the theory of lattice-ordered groups. In the 40s, following the publications of the works by G. Birkhoff, H. Nakano and P. Softcover reprint of hardcover 1st ed. 1994., Books<

2010, ISBN: 9789048144747

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[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A partially ordered group is an… Meer...

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natura, DE, Neuware, gewerbliches Angebot, Taschenbuch, 400, [GW: 640g], 1. Auflage, Banküberweisung, PayPal<

ISBN: 9789048144747

*The Theory of Lattice-Ordered Groups* - Softcover reprint of hardcover 1st ed. 1994 / Taschenbuch für 106.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Bu… Meer...

*The Theory of Lattice-Ordered Groups* - Softcover reprint of hardcover 1st ed. 1994 / Taschenbuch für 106.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Arithmetik, Algebra, Springer Netherlands<

2010, ISBN: 9789048144747

Buch, Softcover, Softcover reprint of hardcover 1st ed. 1994, [PU: Springer], Springer, 2010