Download or read book Partially Ordered Algebraic Systems written by Laszlo Fuchs and published by Courier Corporation. This book was released on 2014-03-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Partially Ordered Algebraic Systems written by László Fuchs and published by . This book was released on 2011 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Topics in Partially Ordered Algebraic Systems written by Robert Neville Buttsworth and published by . This book was released on 1971 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Representations of Partially ordered Algebraic Systems written by A. Hayes and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Lattice Ordered Groups written by V.M. Kopytov and published by Springer. This book was released on 2013-01-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Theory of Lattice Ordered Groups written by V.M. Kopytov and published by Springer Science & Business Media. This book was released on 1994-10-31 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Ordered Algebraic Systems written by Robert J. Rojakovick and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partielle Ordered Algebraic Systems written by and published by . This book was released on 1963 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partially Ordered Rings and Semi Algebraic Geometry written by Gregory W. Brumfiel and published by Cambridge University Press. This book was released on 1979-12-20 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nearrings Nearfields And Related Topics written by Kuncham Syam Prasad and published by World Scientific. This book was released on 2016-11-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Download or read book Ordered Algebraic Structures written by W. Charles Holland and published by CRC Press. This book was released on 2001-04-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Partially Ordered Structures and Sheaves written by Francisco Miraglia and published by Polimetrica s.a.s.. This book was released on 2006 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Amalgamations of Partially Ordered Algebraic Structures written by Keith R. Pierce and published by . This book was released on 1970 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2005 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index
Download or read book Algebraic and Topological Properties of Finite Partially Ordered Sets written by Lothar Budach and published by . This book was released on 1988 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Systems written by Anatolij Ivanovic Mal'cev and published by . This book was released on 1973-05-29 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Systems written by A. I. Malcev and published by Walter de Gruyter GmbH & Co KG. This book was released on 1973-12-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Algebraic Systems".
