Continuous And Discrete Modules
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Continuous And Discrete Modules
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Author : Saad H. Mohamed
language : en
Publisher: Cambridge University Press
Release Date : 1990-02-22
Continuous And Discrete Modules written by Saad H. Mohamed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-22 with Mathematics categories.
Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Continuous And Discrete Modules
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Author : Saad H. Mohamed
language : en
Publisher:
Release Date : 2014-05-14
Continuous And Discrete Modules written by Saad H. Mohamed and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Development Of Animation Modules For Continuous And Discrete Simulation Systems
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Author : Keh-Jong Jeng
language : en
Publisher:
Release Date : 1994
Development Of Animation Modules For Continuous And Discrete Simulation Systems written by Keh-Jong Jeng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computer animation categories.
From Continuous To Discrete
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Author : Dean Banerjee
language : en
Publisher:
Release Date : 2023-07-30
From Continuous To Discrete written by Dean Banerjee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-30 with categories.
Embark on a compelling mathematical journey that seamlessly transitions from the continuous domain of algebra, differential equations, and analog electronics to discover vital connections with their discrete counterparts: integer equations, difference equations, and digital electronics. While a familiarity with differential equations and analog electronics can certainly enrich the experience, it is not a prerequisite. By leveraging a foundation in continuous mathematics, this book skillfully navigates a diverse array of discrete subjects within a remarkably efficient timeframe, all the while nurturing a solid grasp of the underlying principles. Immerse yourself in an enthralling expedition through modulus equations, the harmonies of music theory, the intricacies of integer equations, the dance of difference equations, the enigmatic Mandelbrot set, the transformative power of Z transforms, the subtleties of sampling theory, the evolution of analog to digital converters, the delicate craftsmanship of digital filters, and the captivating realm of digital communications. Despite the apparent diversity of these topics, they share a common thread of foundational mathematics that unites them. Harmonizing practical applications with theoretical principles, "From Continuous to Discrete" offers effective methodologies for solving real-world problems while still providing a robust theoretical foundation that supports these methods.
Continuous And Discrete Modules
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Author : Saad H. Mohamed
language : en
Publisher: Cambridge University Press
Release Date : 1990
Continuous And Discrete Modules written by Saad H. Mohamed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Linear Time Invariant Systems Behaviors And Modules
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Author : Ulrich Oberst
language : en
Publisher: Springer Nature
Release Date : 2020-06-27
Linear Time Invariant Systems Behaviors And Modules written by Ulrich Oberst and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-27 with Mathematics categories.
This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.
Modules Over Discrete Valuation Rings
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Author : Piotr A. Krylov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-09-24
Modules Over Discrete Valuation Rings written by Piotr A. Krylov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-24 with Mathematics categories.
This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group. ContentsPreliminariesBasic factsEndomorphism rings of divisible and complete modulesRepresentation of rings by endomorphism ringsTorsion-free modulesMixed modulesDeterminity of modules by their endomorphism ringsModules with many endomorphisms or automorphisms
A Module Theoretic Approach To The Study Of Discrete Time Constant Single Input Single Output Linear Dynamical Systems Over Finite Fields
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Author : Gregory Lee Smithberger
language : en
Publisher:
Release Date : 1988
A Module Theoretic Approach To The Study Of Discrete Time Constant Single Input Single Output Linear Dynamical Systems Over Finite Fields written by Gregory Lee Smithberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Algebra And Number Theory
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Author : Mohammed Boulagouaz
language : en
Publisher: CRC Press
Release Date : 1999-11-09
Algebra And Number Theory written by Mohammed Boulagouaz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-09 with Mathematics categories.
This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations, and rationality problems of invariant fields - displaying a command of the most advanced methods in algebra. It describes new developments in noncommutative valuation theory and
Classes Of Modules
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Author : John Dauns
language : en
Publisher: CRC Press
Release Date : 2006-06-19
Classes Of Modules written by John Dauns and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-19 with Mathematics categories.
Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples. Often, modules with infinite Goldie dimension have finite-type dimension, making them amenable to use with type dimension, but not Goldie dimension. By working with natural classes
