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Topological Lattice Ordered Groups


Topological Lattice Ordered Groups
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Lattice Ordered Groups


Lattice Ordered Groups
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Author : M.E Anderson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Lattice Ordered Groups written by M.E Anderson 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 2012-12-06 with Computers categories.


The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's "blue notes" [C].



Theory Of Lattice Ordered Groups


Theory Of Lattice Ordered Groups
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Author : Michael Darnel
language : en
Publisher: CRC Press
Release Date : 2021-12-17

Theory Of Lattice Ordered Groups written by Michael Darnel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-17 with Mathematics categories.


Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.



Topological Lattice Ordered Groups


Topological Lattice Ordered Groups
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Author : Robert Lewis Madell
language : en
Publisher:
Release Date : 1968

Topological Lattice Ordered Groups written by Robert Lewis Madell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.




Lattice Ordered Groups


Lattice Ordered Groups
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Author : A.M. Glass
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Lattice Ordered Groups written by A.M. Glass 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 2012-12-06 with Mathematics categories.


A lattice-ordered group is a mathematical structure combining a (partial) order (lattice) structure and a group structure (on a set) in a compatible way. Thus it is a composite structure, or, a set carrying two or more simple structures in a compatible way. The field of lattice-ordered groups turn up on a wide range of mathematical fields ranging from functional analysis to universal algebra. These papers address various aspects of the field, with wide applicability for interested researchers.



Ordered Groups And Topology


Ordered Groups And Topology
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Author : Adam Clay
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-11-16

Ordered Groups And Topology written by Adam Clay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-16 with Mathematics categories.


This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.



Partially Ordered Groups


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



Nonoverlapping Lattice Ordered Groups


Nonoverlapping Lattice Ordered Groups
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Author : John Arthur Read
language : en
Publisher:
Release Date : 1971

Nonoverlapping Lattice Ordered Groups written by John Arthur Read and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.




Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1979

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Aeronautics categories.


Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.



Library Of Congress Subject Headings


Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 1998

Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Subject headings, Library of Congress categories.




Library Of Congress Subject Headings


Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009

Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.