Lattice-ordered Rings And Modules
by Stuart A. Steinberg /
2009 / English / PDF
3.9 MB Download
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.
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.
