ENGLISH

Lattice-ordered Rings and Modules

By Stuart A. Steinberg (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
1441917209, 9781441917201, 1441917217, 9781441917218
DOI
10.1007/978-1-4419-1721-8
LCC
QA247 .S756 2010
Google Books ID
UWnljSmebCEC
Open Library ID
OL25248820M
Language
english
Format
PDF
Filesize
4 MB (4138398 bytes)
Edition
1
Pages
630\650
Library
Kolxo3
Orientation
yes
Scanned
no
Time added
2012-04-04 14:00:00
LatticesOrderOrdered Algebraic Structures; Algebra; Non-associa

Description

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. Steinberg includes in his presentation of the material 800+ extensive exercises of varying levels of difficulty at the end of each of the sections. The first two chapters of the book provide a thorough introduction to the material, while the following four chapters delve into more specific topics. 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. 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.

Similar books