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OverviewThis volume is dedicated to the use of lattice theory in module theory. Its main purpose is to present all module-theoretic results that can be proved by lattice theory only, and to develop the theory necessary to do so. The results treated fall into categories such as the origins of lattice theory, module-theoretic results generalised in modular and likely compactly generated lattices, very special module-theoretic results generalised in lattices, and new concepts in lattices introduced by the author. Audience: This book will be of interest to graduate students and researchers whose work involves order, lattices, group theory and generalisations, general module theory, and rings and algebras. Full Product DetailsAuthor: Grigore CalugareanuPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2000 Volume: 22 Dimensions: Width: 17.00cm , Height: 1.20cm , Length: 24.40cm Weight: 0.454kg ISBN: 9789048155309ISBN 10: 9048155304 Pages: 225 Publication Date: 08 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 Basic notions and results.- 2 Compactly generated lattices.- 3 Composition series. Decompositions.- 4 Essential elements. Pseudo—complements.- 5 Socle. Torsion lattices.- 6 Independence. Semiatomic lattices.- 7 Radical. Superfluous and fully invariant elements.- 8 Lattices of finite uniform dimension.- 9 Purity and neatness in lattices.- 10 Coatomic lattices.- 11 Co—compact lattices.- 12 Supplemented lattices. Locally artinian lattices.- 13 Several dimensions.- 14 Solutions of exercises.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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