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＜電子ブック＞
Lattice-ordered Rings and Modules / by Stuart A. Steinberg

版	1st ed. 2010.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XVIII, 630 p : online resource
著者標目	*Steinberg, Stuart A author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Associative rings LCSH:Associative algebras FREE:Algebra FREE:Order, Lattices, Ordered Algebraic Structures FREE:Associative Rings and Algebras
一般注記	Partially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics 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 HTTP:URL=https://doi.org/10.1007/978-1-4419-1721-8

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