Module Structure Of Rings Of Differential Operators

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Module Structure Of Rings Of Differential Operators

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Author : Holland M. P.
language : en
Publisher:
Release Date : 1987

Module Structure Of Rings Of Differential Operators written by Holland M. P. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

Rings Of Differential Operators

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Author : Jan-Erik Björk
language : en
Publisher: North-Holland
Release Date : 1979

Rings Of Differential Operators written by Jan-Erik Björk and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

Rings Of Differential Operators On Classical Rings Of Invariants

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Author : Thierry Levasseur
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Rings Of Differential Operators On Classical Rings Of Invariants written by Thierry Levasseur and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

"September 1989, Volume 81, number 412 (third of 6 numbers)."

Differential Operators And Nakai S Conjecture

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Author :
language : en
Publisher:
Release Date : 1998

Differential Operators And Nakai S Conjecture written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

A Primer Of Algebraic D Modules

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Author : S. C. Coutinho
language : en
Publisher: Cambridge University Press
Release Date : 1995-09-07

A Primer Of Algebraic D Modules written by S. C. Coutinho 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 1995-09-07 with Mathematics categories.

The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.

Rings Of Differential Operators Over Projective Rational Curves

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Author : David John Kausch
language : en
Publisher:
Release Date : 1993

Rings Of Differential Operators Over Projective Rational Curves written by David John Kausch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Modules And Rings

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Author : John Dauns
language : en
Publisher: Cambridge University Press
Release Date : 1994-10-28

Modules And Rings written by John Dauns 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 1994-10-28 with Mathematics categories.

This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.

D Modules And Microlocal Calculus

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Author : Masaki Kashiwara
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

D Modules And Microlocal Calculus written by Masaki Kashiwara and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory. Here, there is an emphasis on $b$-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara. A hot topic from the mid '70s to mid '80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public.

Cyclic Modules And The Structure Of Rings

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Author : S. K. Jain
language : en
Publisher: Oxford University Press
Release Date : 2012-09-27

Cyclic Modules And The Structure Of Rings written by S. K. Jain and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-27 with Mathematics categories.

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property. The finiteness conditions and homological properties are closely interrelated in the sense that either hypothesis induces the other in some form. This is the first book to bring all of this important material on the subject together. Over the last 25 years or more numerous mathematicians have investigated rings whose factor rings or factor modules have a finiteness condition or a homological property. They made important contributions leading to new directions and questions, which are listed at the end of each chapter for the benefit of future researchers. There is a wealth of material on the topic which is combined in this book, it contains more than 200 references and is not claimed to be exhaustive. This book will appeal to graduate students, researchers, and professionals in algebra with a knowledge of basic noncommutative ring theory, as well as module theory and homological algebra, equivalent to a one-year graduate course in the theory of rings and modules.

Group Graded Rings Differential Operator Rings And Duality

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Author : Declan Patrick Francis Quinn
language : en
Publisher:
Release Date : 1985

Group Graded Rings Differential Operator Rings And Duality written by Declan Patrick Francis Quinn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.