Lattice-ordered Rings and Modules / by Stuart A. Steinberg
| データ種別 | 電子ブック |
|---|---|
| 版 | First |
| 出版情報 | New York, NY : Springer New York , 2010 |
| 本文言語 | 英語 |
| 大きさ | XVIII, 630 p : online resource |
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| 内容注記 | Partially Ordered Sets and Lattices Lattice-ordered Groups Lattice-ordered Rings The Category of -Modules Lattice-ordered Fields Additional Topics |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *Steinberg, Stuart A. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebra LCSH:Associative rings LCSH:Rings (Algebra) LCSH:Ordered algebraic structures FREE:Mathematics FREE:Algebra FREE:Order, Lattices, Ordered Algebraic Structures FREE:Associative Rings and Algebras |
| 分 類 | DC23:512 |
| 巻冊次 | ISBN:9781441917218 
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| ISBN | 9781441917218 |
| URL | http://dx.doi.org/10.1007/978-1-4419-1721-8 |
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