Structure of a Group and the Structure of its Lattice of Subgroups, Michio Suzuki

Автор: Gregori A. Margulis
Название: Discrete Subgroups of Semisimple Lie Groups
ISBN: 3642057217 ISBN-13(EAN): 9783642057212
Издательство: Springer
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Описание: This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. The author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature.

Автор: Franz G. Timmesfeld
Название: Abstract Root Subgroups and Simple Groups of Lie-Type
ISBN: 3034875967 ISBN-13(EAN): 9783034875967
Издательство: Springer
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Описание: This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. The theory of abstract root subgroups is an important tool to study and classify simple classical and Lie-type groups.

Автор: Grigore Calugareanu
Название: Lattice Concepts of Module Theory
ISBN: 0792364880 ISBN-13(EAN): 9780792364887
Издательство: Springer
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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: 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: Yang Xu; Da Ruan; Keyun Qin; Jun Liu
Название: Lattice-Valued Logic
ISBN: 3642072798 ISBN-13(EAN): 9783642072796
Издательство: Springer
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Описание: The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.

Автор: John Ferraro
Название: Introductory Group Theory and Its Application to Molecular Structure
ISBN: 1468487973 ISBN-13(EAN): 9781468487978
Издательство: Springer
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Описание: In this edition we have expanded the discus- sion on point symmetry to include space symmetry. We have chosen to exclude discussion on symmetry aspects of molecular orbital theory and ligand field theory.