Partially Ordered Algebraic Systems
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Partially Ordered Algebraic Systems
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Author : Laszlo Fuchs
language : en
Publisher: Courier Corporation
Release Date : 2011-01-01
Partially Ordered Algebraic Systems written by Laszlo Fuchs and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
Originally published in an important series of books on pure and applied mathematics, this monograph by a distinguished mathematician explores a high-level area in algebra. It constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The self-contained treatment features numerous problems, complete proofs, a detailed bibliography, and indexes. It presumes some knowledge of abstract algebra, providing necessary background and references where appropriate. This inexpensive edition of a hard-to-find systematic survey will fill a gap in many individual and institutional libraries.
Partially Ordered Algebraic Systems
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Author : Laszlo Fuchs
language : en
Publisher: Courier Corporation
Release Date : 2014-03-05
Partially Ordered Algebraic Systems written by Laszlo Fuchs and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
This monograph by a distinguished mathematician constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The high-level, self-contained treatment features numerous problems. 1963 edition.
Partially Ordered Groups
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Author : Andrew Martin William Glass
language : en
Publisher: World Scientific
Release Date : 1999
Partially Ordered Groups written by Andrew Martin William Glass and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
"The author's style of writing is very lucid, and the material presented is self-contained. It is an excellent reference text for a graduate course in this area, as well as a source of material for individual reading".Bulletin of London Mathematical Society
Partially Ordered Algebraic Systems
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Author : László Fuchs
language : en
Publisher:
Release Date : 2011
Partially Ordered Algebraic Systems written by László Fuchs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
The Theory Of Lattice Ordered Groups
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Author : V.M. Kopytov
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-10-31
The Theory Of Lattice Ordered Groups written by V.M. Kopytov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-31 with Mathematics categories.
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.
Some Topics In Partially Ordered Algebraic Systems
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Author : Robert Neville Buttsworth
language : en
Publisher:
Release Date : 1971
Some Topics In Partially Ordered Algebraic Systems written by Robert Neville Buttsworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Algebraic fields categories.
Ordered Algebraic Structures
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Author : Jorge Martínez
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Ordered Algebraic Structures written by Jorge Martínez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.
Partially Ordered Rings And Semi Algebraic Geometry
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Author : Gregory W. Brumfiel
language : en
Publisher: Cambridge University Press
Release Date : 1979-12-20
Partially Ordered Rings And Semi Algebraic Geometry written by Gregory W. Brumfiel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-20 with Mathematics categories.
The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.
Ordered Algebraic Structures
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Author : W. Charles Holland
language : en
Publisher: CRC Press
Release Date : 2001-04-01
Ordered Algebraic Structures written by W. Charles Holland and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-01 with Mathematics categories.
This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.
Representations Of Partially Ordered Algebraic Systems
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Author : A. Hayes
language : en
Publisher:
Release Date : 1961
Representations Of Partially Ordered Algebraic Systems written by A. Hayes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.