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Field name	Details
Dewey Class	511.32
Title	Lattices and Ordered Sets ([Ebook]) / by Steven Roman.
Author	Roman, Steven
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2008.
Physical Details	XV, 305 pages : online resource.
ISBN	9780387789019
Summary Note	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).:
Contents note	Preface -- 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 -- Duality for Distributive Lattices: The Priestley Topology -- Free Lattices -- Fixed-Point Theorems -- Appendix A: A Bit of Topology -- Appendix B: A Bit of Category Theory -- References -- Index of Symbols -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-78901-9
Links to Related Works	Subject References: Algebra . Lattice theory . Mathematical logic . Order, Lattices, Ordered Algebraic Structures . Ordered sets . Authors: Roman, Steven . Corporate Authors: SpringerLink (Online service) . Classification: 511.32 . 511.32 (DDC 22) .

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Lattices and Ordered Sets

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