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Topics In Torsion Theory
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Book Synopsis Topics in Torsion Theory by : Paul E. Bland
Download or read book Topics in Torsion Theory written by Paul E. Bland and published by Wiley-VCH. This book was released on 1998-11-30 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Torsion theory provides an umbrella under which many classical properties of rings and modules can be reformulated. The purpose of this book is to provide the reader with a quick introduction to torsion theory and to study selected properties of rings and modules in this setting. The material presented ranges from a torsion theoretical treatment of standard topics in ring and module theory to how previously untreated properties of rings and modules might be dealt with in this setting. The approach has been to develop the material so that classical results can be recovered by selecting an appropriate torsion theory. Simple modules, maximal submodules, the Jacobson radical and modules with chain conditions are investigated relative to a torsion theory. A relative form of Nakayama’s lemma is given and a generalized Hopkins-Levitzki theorem is established. Injective and projective concepts are studied and a generalized Baer’s condition for injective modules and a generalized Fuchs condition for quasi-injective modules are shown to hold. Flat modules and covers and hulls of modules are investigated and the concept of a relative (quasi-)projective cover is used to characterize those rings which are right perfect modulo their torsion ideal. Torsion free covers are also studied and results are given which generalize well known results on torsion free covers for modules (with usual torsion) over an integral domain. Finally, (semi-)primitive, (semi-)simple and (semi-)prime rings are investigated in a torsion theoretical setting and rings which are right primitive relative to a torsion theory are linked to a form of density which is reminiscent of Jacobson density for right primitive rings.
Book Synopsis Topics in Torsion Theory by : Stelios Charalambides
Download or read book Topics in Torsion Theory written by Stelios Charalambides and published by . This book was released on 2006 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this thesis is to generalize to the torsion-theoretic setting various concepts and results from the theory of rings and modules. In order to accomplish this we begin with some preliminaries which introduce the main ideas used in torsion theory, the major ones being [tau]-torsion and [tau]-torsionfree modules as well as [tau]-dense and [tau]-pure submodules. In the first chapter we also introduce a new concept, that of a [tau]-compact module, which is basic enough to deserve a place among the preliminaries.
Book Synopsis Torsion Theories by : Jonathan S. Golan
Download or read book Torsion Theories written by Jonathan S. Golan and published by Longman Scientific and Technical. This book was released on 1986 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Torsion Theories, Additive Semantics, and Rings of Quotients by : Joachim Lambek
Download or read book Torsion Theories, Additive Semantics, and Rings of Quotients written by Joachim Lambek and published by Springer. This book was released on 2006-11-15 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: With an Appendix on Torsion Theories and Dominant Dimensions
Book Synopsis Themes in Torsion Theory by : Stelios Charalambides
Download or read book Themes in Torsion Theory written by Stelios Charalambides and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Torsion written by and published by . This book was released on 1996 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mechanics of Materials 2 by : E.J. Hearn
Download or read book Mechanics of Materials 2 written by E.J. Hearn and published by Elsevier. This book was released on 1997-11-25 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important subjects for any student of engineering or materials to master is the behaviour of materials and structures under load. The way in which they react to applied forces, the deflections resulting and the stresses and strains set up in the bodies concerned are all vital considerations when designing a mechanical component such that it will not fail under predicted load during its service lifetime.Building upon the fundamentals established in the introductory volume Mechanics of Materials 1, this book extends the scope of material covered into more complex areas such as unsymmetrical bending, loading and deflection of struts, rings, discs, cylinders plates, diaphragms and thin walled sections. There is a new treatment of the Finite Element Method of analysis, and more advanced topics such as contact and residual stresses, stress concentrations, fatigue, creep and fracture are also covered. Each chapter contains a summary of the essential formulae which are developed in the chapter, and a large number of worked examples which progress in level of difficulty as the principles are enlarged upon. In addition, each chapter concludes with an extensive selection of problems for solution by the student, mostly examination questions from professional and academic bodies, which are graded according to difficulty and furnished with answers at the end.
Book Synopsis A Torsion Theory for Modules Over Rings Without Identities by : John Michael Kellett
Download or read book A Torsion Theory for Modules Over Rings Without Identities written by John Michael Kellett and published by Sagwan Press. This book was released on 2018-02-08 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Strength of Materials and Structures by : Carl T. F. Ross
Download or read book Strength of Materials and Structures written by Carl T. F. Ross and published by Elsevier. This book was released on 1999-08-27 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers need to be familiar with the fundamental principles and concepts in materials and structures in order to be able to design structurers to resist failures. For 4 decades, this book has provided engineers with these fundamentals. Thoroughly updated, the book has been expanded to cover everything on materials and structures that engineering students are likely to need. Starting with basic mechanics, the book goes on to cover modern numerical techniques such as matrix and finite element methods. There is also additional material on composite materials, thick shells, flat plates and the vibrations of complex structures. Illustrated throughout with worked examples, the book also provides numerous problems for students to attempt. New edition introducing modern numerical techniques, such as matrix and finite element methods Covers requirements for an engineering undergraduate course on strength of materials and structures
Book Synopsis Strength of Materials by : R. C. Stephens
Download or read book Strength of Materials written by R. C. Stephens and published by Elsevier. This book was released on 2013-10-22 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strength of Materials: Theory and Examples covers the basic topics and mathematical aspect relating to the strength of materials. Each chapter of this book consists of a concise but thorough statement of the theory, followed by a number of worked examples in which the theory is amplified and extended. A large number of unworked examples and its respective answers are also provided. The topics include the bending stresses, torsion, deflection of beams, struts, and thin curved bars. This text likewise deliberates the shear stress in beams, unsymmetrical bending, elastic constants, and theories of failure. This publication is recommended for students who are in their first two years of an engineering degree or diploma course.
Book Synopsis Methods of Graded Rings by : Constantin Nastasescu
Download or read book Methods of Graded Rings written by Constantin Nastasescu and published by Springer. This book was released on 2004-02-07 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.
Book Synopsis Advances in Non-Commutative Ring Theory by : P. J. Fleury
Download or read book Advances in Non-Commutative Ring Theory written by P. J. Fleury and published by Springer. This book was released on 2006-11-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Algebra by : Stanisław Balcerzyk
Download or read book Topics in Algebra written by Stanisław Balcerzyk and published by . This book was released on 1990 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Derivatives, Nuclei and Dimensions on the Frame of Torsion Theories by : Jonathan S. Golan
Download or read book Derivatives, Nuclei and Dimensions on the Frame of Torsion Theories written by Jonathan S. Golan and published by Longman. This book was released on 1988 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic, Number Theoretic, and Topological Aspects of Ring Theory by : Jean-Luc Chabert
Download or read book Algebraic, Number Theoretic, and Topological Aspects of Ring Theory written by Jean-Luc Chabert and published by Springer Nature. This book was released on 2023-07-07 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universität Graz, Graz, Austria, July 19 –24, 2021, and papers intended for presentation at the Fourth International Meeting on Integer-valued Polynomials and Related Topics, CIRM, Luminy, France, which was cancelled due to the pandemic. The collection ranges widely over the algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Two areas of particular note are topological methods in ring theory, and integer valued polynomials. The book is dedicated to the memory of Paul-Jean Cahen, a coauthor or research collaborator with some of the conference participants and a friend to many of the others. This collection contains a memorial article about Paul-Jean Cahen, written by his longtime research collaborator and coauthor Jean-Luc Chabert.
Book Synopsis Cosmology and Gravitation by : Peter G. Bergmann
Download or read book Cosmology and Gravitation written by Peter G. Bergmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the Sixth Course of the International School of Cosmology and Gravitation of the "Ettore Maj orana" Centre for Scientific Cul ture we choose as the principal topics torsion and supergravity, because in our opinion it is one of the principal tasks of today's theoretical physics to attempt to link together the theory of ele mentary particles and general relativity. Our aim was to delineate the present status of the principal efforts directed toward this end, and to explore possible directions of work in the near future. Efforts to incorporate spin as a dynamic variable into the foundations of the theory of gravitation were poineered by E. Cartan, whose contributions to this problem go back half a century. Accord ing to A. Trautman this so-called Einstein-Cartan theory is the sim plest and most natural modification of Einstein's 1916 theory. F. Hehl has contributed a very detailed and comprehensive analysis of this topic, original view of non-Riemannian space-time. Characteristic of Einstein-Cartan theories is the enrichment of Riemannian geometry by torsion, the non-symmetric part of the otherwise metric-compatible affine connection. Torsion has a impact on the theory of elementary particles. According to V. de Sabbata, weak interactions can be based on the Einstein-Cartan geometry, in that the Lagrangian describing weak interactions and torsion inter- action possess analogous structures, leading to a unification of weak and gravitational forces.
Book Synopsis Commutative Torsion Theory by : Jagannadham V. Pakala
Download or read book Commutative Torsion Theory written by Jagannadham V. Pakala and published by . This book was released on 1979 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
