Universal Algebra and Lattice Theory, R.S. Freese; O.C. Garcia

Автор: Gr?tzer
Название: Lattice Theory: Special Topics and Applications
ISBN: 331944235X ISBN-13(EAN): 9783319442358
Издательство: Springer
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Описание: George Gr?tzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Gr?tzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Автор: Grigore Calugareanu
Название: Lattice Concepts of Module Theory
ISBN: 0792364880 ISBN-13(EAN): 9780792364887
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Описание: This 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.

Автор: Jorge Almeida; Gabriela Bordalo; Philip Dwinger
Название: Lattices, Semigroups, and Universal Algebra
ISBN: 1489926100 ISBN-13(EAN): 9781489926104
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Описание: Proceedings of an international conference held in Lisbon, Portugal, June 20-24, 1988

Автор: Grigore Calugareanu
Название: Lattice Concepts of Module Theory
ISBN: 9048155304 ISBN-13(EAN): 9789048155309
Издательство: Springer
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Описание: It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring is best understood in terms of the lattice struc- ture of its submodule lattice. Citing Louis H. Rowen "this important example (the lattice of all the submodules of a module) is the raison d'etre for the study of lattice theory by ring theorists." Indeed, many module-theoretic results can be proved by using lattice theory alone. The purpose of this book is to collect and present all and only the results of this kind, although for this purpose one must develop some significant lattice theory. The results in this book are of the following categories: the folklore of Lattice Theory (to be found in each Lattice Theory book), module- theoretic results generalized in (modular, and possibly compactly gen- erated) lattices (to be found in some 6 to 7 books published in the last 20 years), very special module-theoretic results generalized in lattices (e. g., purity in Chapter 9 and several dimensions in Chapter 13, to be found mostly in 27], respectively, 34] and 18]) and some new con- cepts (e. g.

Автор: Ma Jingjing
Название: Lecture Notes on Algebraic Structure of Lattice-Ordered Ring
ISBN: 9814571423 ISBN-13(EAN): 9789814571425
Издательство: World Scientific Publishing
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Описание: Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Автор: A.M. Glass; W.C. Holland
Название: Lattice-Ordered Groups
ISBN: 0792301161 ISBN-13(EAN): 9780792301165
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Автор: A.M. Glass; W.C. Holland
Название: Lattice-Ordered Groups
ISBN: 9401075247 ISBN-13(EAN): 9789401075244
Издательство: Springer
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Автор: Morikazu Toda
Название: Theory of Nonlinear Lattices
ISBN: 3540183272 ISBN-13(EAN): 9783540183273
Издательство: Springer
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Описание: Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations.

Автор: Fumitomo Maeda; Shuichiro Maeda
Название: Theory of Symmetric Lattices
ISBN: 3642462502 ISBN-13(EAN): 9783642462504
Издательство: Springer
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Описание: Of central importance in this book is the concept of modularity in lattices. These lattices are said to be M-sym- metric, and their study forms an extension of the theory of modular lattices. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice.

Автор: Sen, Dr. Soumya Cortesi, Agostino Chaki, Nabendu
Название: Hyper-lattice algebraic model for data warehousing
ISBN: 3319280422 ISBN-13(EAN): 9783319280424
Издательство: Springer
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Описание: This book presents Hyper-lattice, a new algebraic model for partially ordered sets, and an alternative to lattice. The authors analyze some of the shortcomings of conventional lattice structure and propose a novel algebraic structure in the form of Hyper-lattice to overcome problems with lattice.

Автор: Stuart A. Steinberg
Название: Lattice-ordered Rings and Modules
ISBN: 1489982973 ISBN-13(EAN): 9781489982971
Издательство: Springer
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Описание: 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. 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. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

Автор: Andreas Frommer; Thomas Lippert; Bjoern Medeke; Kl
Название: Numerical Challenges in Lattice Quantum Chromodynamics
ISBN: 3540677321 ISBN-13(EAN): 9783540677321
Издательство: Springer
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Описание: This volume contains contributions of the interdisciplinary workshop "Nu- merical Challenges in Lattice Quantum Chromo dynamics" that the Institute of Applied Computer Science (IAI) at Wuppertal University together with the Von-Neumann-Institute-for-Computing (NIC) organized in August 1999.