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Lattice Concepts of Module Theory - Grigore Calugareanu, G. Calugareanu
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Grigore Calugareanu, G. Calugareanu:
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ISBN: 9780792364887

ID: 9780792364887

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 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. Textbooks New, Books~~Mathematics~~Algebra~~General, Lattice-Concepts-of-Module-Theory~~Grigore-Calugareanu, 999999999, Lattice Concepts of Module Theory, Grigore Calugareanu, G. Calugareanu, 0792364880, Springer Netherlands, , , , , Springer Netherlands

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[EAN: 9780792364887], Neubuch, [PU: Kluwer Academic Publishers, United States], Mathematics|Algebra|Abstract, Mathematics|Algebra|General, Mathematics|Group Theory, Mathematics|Topology, Language: English Brand New Book ***** Print on Demand *****. 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.

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Lattice Concepts of Module Theory - Grigore Calugareanu
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Grigore Calugareanu:
Lattice Concepts of Module Theory - neues Buch

2000, ISBN: 9780792364887

ID: 125105939

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. Lattice Concepts of Module Theory Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.08.2000 Buch (fremdspr.), Springer, .200

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Lattice Concepts of Module Theory - Grigore Calugareanu
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Lattice Concepts of Module Theory 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6488-7, Springer

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Calugareanu, G.:
Lattice Concepts of Module Theory - gebunden oder broschiert

ISBN: 9780792364887

[ED: Hardcover], [PU: Springer Netherlands], 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.xiii, 225 S. 1 SW-Abb.,. 234 mmVersandfertig in 3-5 Tagen, [SC: 0.00]

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Details zum Buch
Lattice Concepts of Module Theory

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. 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.

Detailangaben zum Buch - Lattice Concepts of Module Theory


EAN (ISBN-13): 9780792364887
ISBN (ISBN-10): 0792364880
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
248 Seiten
Gewicht: 0,526 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 01.05.2007 08:28:24
Buch zuletzt gefunden am 14.03.2017 16:35:13
ISBN/EAN: 0792364880

ISBN - alternative Schreibweisen:
0-7923-6488-0, 978-0-7923-6488-7


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