Lattice Ordered Rings
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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.
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.
Author | : Jingjing Ma |
Publisher | : |
Total Pages | : 138 |
Release | : 1999 |
Genre | : Lattice ordered rings |
ISBN | : |
Author | : Mary Muskoff Neff |
Publisher | : |
Total Pages | : 54 |
Release | : 1956 |
Genre | : Lattice theory |
ISBN | : |
Author | : Stuart Alvin Steinberg |
Publisher | : |
Total Pages | : 332 |
Release | : 1970 |
Genre | : Modules (Algebra) |
ISBN | : |
Author | : John Edwin Diem |
Publisher | : |
Total Pages | : 88 |
Release | : |
Genre | : Lattice theory |
ISBN | : |
Author | : Klaus Keimel |
Publisher | : |
Total Pages | : 34 |
Release | : 1973 |
Genre | : |
ISBN | : |
Author | : Donald Glen Johnson |
Publisher | : |
Total Pages | : 226 |
Release | : 1959 |
Genre | : Algebraic fields |
ISBN | : |
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
Author | : H. J. Shyr |
Publisher | : |
Total Pages | : 6 |
Release | : 1970 |
Genre | : |
ISBN | : |