TY  - GEN
TY  - GEN
T1  - Lattice-ordered Rings and Modules
A1  - Steinberg, Stuart A.
LA  - English
PP  - New York, NY
PB  - Springer New York : Imprint: Springer
YR  - 2010
ED  - 1st ed. 2010.
UL  - http://discoverylib.upm.edu.my/discovery/Record/978-1-4419-1721-8
AB  - 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.
OP  - 630
CN  - QA150-272
SN  - 9781441917218
KW  - Algebra.
KW  - Ordered algebraic structures.
KW  - Associative rings.
KW  - Rings (Algebra).
KW  - Order, Lattices, Ordered Algebraic Structures.
KW  - Associative Rings and Algebras.
ER  -