Lattices and Ordered Sets / by Steven Roman
| データ種別 | 電子ブック |
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| 出版情報 | New York, NY : Springer New York , 2008 |
| 本文言語 | 英語 |
| 大きさ | XV, 305 p : online resource |
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| 内容注記 | Basic Theory Partially Ordered Sets Well-Ordered Sets Lattices Modular and Distributive Lattices Boolean Algebras The Representation of Distributive Lattices Algebraic Lattices Prime and Maximal Ideals; Separation Theorems Congruence Relations on Lattices Topics Duality for Distributive Lattices: The Priestley Topology Free Lattices Fixed-Point Theorems |
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| 一般注記 | This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. The book has an excellent choice of topics, including a chapter on well ordering and ordinal numbers, which is not usually found in other texts. The approach is user-friendly and the presentation is lucid. There are more than 240 carefully chosen exercises. Topic coverage includes: modular, semimodular and distributive lattices, boolean algebras, representation of distributive lattices, algebraic lattices, congruence relations on lattices, free lattices, fixed-point theorems, duality theory and more. Steven Roman is the author of many successful textbooks, including Advanced Linear Algebra, 3rd Edition (Springer 2007), Field Theory, 2nd Edition (Springer 2005), and Introduction to the Mathematics of Finance (2004) |
| 著者標目 | *Roman, Steven author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebra LCSH:Ordered algebraic structures FREE:Mathematics FREE:Order, Lattices, Ordered Algebraic Structures FREE:Algebra |
| 分 類 | DC23:511.33 |
| 巻冊次 | ISBN:9780387789019 
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| ISBN | 9780387789019 |
| URL | http://dx.doi.org/10.1007/978-0-387-78901-9 |
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