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Author: Robert Wisbauer
Publisher: Routledge
ISBN: 1351447343
Category : Mathematics
Languages : en
Pages : 622
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Book Description
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
Author: Robert Wisbauer
Publisher: Routledge
ISBN: 1351447343
Category : Mathematics
Languages : en
Pages : 622
Get Book Here
Book Description
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
Author: Robert Wisbauer
Publisher: CRC Press
ISBN: 9780582289819
Category : Mathematics
Languages : en
Pages : 384
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Book Description
Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
Author: J.R. Garcia Rozas
Publisher: Routledge
ISBN: 1351457616
Category : Mathematics
Languages : en
Pages : 152
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Book Description
Over the last few years, the study of complexes has become increasingly important. To date, however, most of the research is scattered throughout the literature or available only as lecture notes. Covers and Envelopes in the Category of Complexes of Modules collects these scattered notes and results into a single, concise volume that provides an account of recent developments in the theory and presents several new and important ideas. The author introduces the theory of complexes of modules using only elementary tools-making the field more accessible to non-specialists. He focuses the study on envelopes and covers in this category with respect to some well established and important classes of complexes. He places particular emphasis on DG-injective and DG-projective complexes and flat and DG-flat covers. Other topics covered include Zorn's Lemma for categories, preserving and reflecting covers by functors, orthogonality in the category of complexes, Gorenstein injective and projective complexes, and pure sequences of complexes. Along with its value as a collection of recent work in the field, Covers and Envelopes in the Category of Complexes of Modules presents powerful new ideas that will undoubtedly advance homological methods. Mathematicians-especially researchers in module theory and homological algebra-will welcome this volume as a reference guide and for its new and important results.
Author: William Egginton
Publisher: Stanford University Press
ISBN: 9780804756006
Category : Literary Criticism
Languages : en
Pages : 188
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Book Description
This book is about interpretation as it pertains to literature, philosophy, and psychoanalysis. It argues against certain trends of thought that claim we should do without interpretation by demonstrating that interpretation, as described by psychoanalysis, is already a fundamental aspect of all human experience. Egginton examines the idea of interpretation developed by Freud; how that notion was in turn changed by Lacan; the debate around psychoanalytic interpretation staged by philosophers like Deleuze and Derrida; and finally how a psychoanalytic notion of interpretation is necessary for even the most basic experience of consciousness.
Author: Piotr A. Krylov
Publisher: Walter de Gruyter
ISBN: 9783110200539
Category : Mathematics
Languages : en
Pages : 376
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Book Description
"In this book, modules over a specific class of rings, the discrete valuations domains, are considered. Such modules call for a special consideration, since they have specific properties and play an important role in various areas of algebra, especially of commutative algebra. The text is accompanied by exercises, historical remarks, links to related fields and open problems. It is useful for students, graduates studying algebra, young researchers, and experts."--BOOK JACKET.
Author: Morganna Lambeth
Publisher: Cambridge University Press
ISBN: 1009239252
Category : Philosophy
Languages : en
Pages : 231
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Book Description
This book reconstructs and defends Heidegger's interpretive method, tracing that method across his reading of Kant's Critique of Pure Reason.
Author: Roland K. Hartmann
Publisher: John Wiley & Sons
ISBN: 3527650547
Category : Science
Languages : en
Pages : 1370
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Book Description
The second edition of a highly acclaimed handbook and ready reference. Unmatched in its breadth and quality, around 100 specialists from all over the world share their up-to-date expertise and experiences, including hundreds of protocols, complete with explanations, and hitherto unpublished troubleshooting hints. They cover all modern techniques for the handling, analysis and modification of RNAs and their complexes with proteins. Throughout, they bear the practising bench scientist in mind, providing quick and reliable access to a plethora of solutions for practical questions of RNA research, ranging from simple to highly complex. This broad scope allows the treatment of specialized methods side by side with basic biochemical techniques, making the book a real treasure trove for every researcher experimenting with RNA.
Author: Martin Heidegger
Publisher: Indiana University Press
ISBN: 9780253210678
Category : Philosophy
Languages : en
Pages : 262
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Book Description
This edition of Heidegger's work on Kant's Critique of Pure Reason, originally published in 1929, includes marginal notations made by Heidegger in his personal copy of the book and four new appendices of his postpublication notes, his review of Ernst Cassirer's Philosophy of Symbolic Forms, his response to reviews by Rudolf Odebrecht and Cassirer, and an essay, "On the History of the Philosophical Chair since 1866." No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Martin Heidegger
Publisher: Indiana University Press
ISBN: 0253004446
Category : Philosophy
Languages : en
Pages : 256
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Book Description
Since its original publication in 1929, Martin Heidegger's provocative book on Kant's Critique of Pure Reason has attracted much attention both as an important contribution to twentieth-century Kant scholarship and as a pivotal work in Heidegger's own development after Being and Time. This fifth, enlarged edition includes marginal notations made by Heidegger in his personal copy of the book and four new appendices—Heidegger's postpublication notes on the book, his review of Ernst Cassirer's Philosophy of Symbolic Forms, Heidegger's response to reviews by rudolf Odebrecht and Cassirer, and an essay "On the History of the Philosophical Chair since 1866." The work is significant not only for its illuminating assessment of Kant's thought but also for its elaboration of themes first broached in Being and Time, especially the problem of how Heidegger proposed to enact his destruction of the metaphysical tradition and the role that his reading of Kant would play therein.
Author: Jorge Cuellar
Publisher: Springer
ISBN: 3540682376
Category : Computers
Languages : en
Pages : 449
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Book Description
This book presents the refereed proceedings of the 15th International Symposium on Formal Methods, FM 2008, held in Turku, Finland in May 2008. The 23 revised full papers presented together with 4 invited contributions and extended abstracts of 5 invited industrial presentations were carefully reviewed and selected from 106 submissions. The papers are organized in topical sections on programming language analysis, verification, real-time and concurrency, grand chellenge problems, fm practice, runtime monitoring and analysis, communication, constraint analysis, and design.
