Representations Of Lattice Ordered Rings
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Lattice-ordered Rings and Modules
Author | : Stuart A. Steinberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 639 |
Release | : 2009-11-19 |
Genre | : Mathematics |
ISBN | : 1441917217 |
This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules. Steinberg presents the material through 800+ extensive examples of varying levels of difficulty along with numerous exercises at the end of each section. Key topics include: lattice-ordered groups, rings, and fields; archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results.
Lecture Notes On Algebraic Structure Of Lattice-ordered Rings
Author | : Jingjing Ma |
Publisher | : World Scientific |
Total Pages | : 258 |
Release | : 2014-03-14 |
Genre | : Mathematics |
ISBN | : 981457144X |
Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.
The Representation and Structure of Lattice-ordered Groups and F-rings ...
Author | : Donald Alexander Chambless |
Publisher | : |
Total Pages | : 242 |
Release | : 1971 |
Genre | : Group theory |
ISBN | : |
Ordered Sets and Lattices II
Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 262 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821895887 |
This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences
Author | : K. Glazek |
Publisher | : Springer Science & Business Media |
Total Pages | : 394 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9401599645 |
This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).
Nearrings, Nearfields And Related Topics
Author | : Kuncham Syam Prasad |
Publisher | : World Scientific |
Total Pages | : 324 |
Release | : 2016-11-28 |
Genre | : Mathematics |
ISBN | : 981320737X |
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
Theory of Lattice-Ordered Groups
Author | : Michael Darnel |
Publisher | : CRC Press |
Total Pages | : 568 |
Release | : 2021-12-17 |
Genre | : Mathematics |
ISBN | : 1000148386 |
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.
A Structure Theory for a Class of Lattice-ordered Rings
Author | : Donald Glen Johnson |
Publisher | : |
Total Pages | : 226 |
Release | : 1959 |
Genre | : Algebraic fields |
ISBN | : |