Ring Constructions and Applications

Ring Constructions and Applications PDF Author: Andrei V. Kelarev
Publisher: World Scientific
ISBN: 9810247451
Category : Mathematics
Languages : en
Pages : 218

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Book Description
This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.

Ring Constructions and Applications

Ring Constructions and Applications PDF Author: Andrei V. Kelarev
Publisher: World Scientific
ISBN: 9810247451
Category : Mathematics
Languages : en
Pages : 218

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Book Description
This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.

Transition-Metal-Mediated Aromatic Ring Construction

Transition-Metal-Mediated Aromatic Ring Construction PDF Author: Ken Tanaka
Publisher: John Wiley & Sons
ISBN: 111862999X
Category : Science
Languages : en
Pages : 830

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Book Description
State-of-the-science methods, synthetic routes, andstrategies to construct aromatic rings The development of new reactions for the synthesis of aromaticcompounds is a highly active research area in organic synthesis,providing new functional organic materials, functional reagents,and biologically active compounds. Recently, significant advancesin transition-metal-mediated reactions have enabled the efficientand practical construction of new aromatic rings with usefulproperties and applications. This book draws together and reviewsall the latest discoveries and methods in transition-metal-mediatedreactions, offering readers promising new routes to design andconstruct complex aromatic compounds. Integrating metal catalysis with aromatic compound synthesis,Transition-Metal-Mediated Aromatic Ring Construction offersa practical guide to the methods, synthetic routes, and strategiesfor constructing aromatic compounds. The book's five partsexamine: [2+2+2], [2+2+1], and related cycloaddition reactions [4+2], [3+2], and related cycloaddition reactions Electrocyclization reactions Coupling and addition reactions Other important transformations, including methathesisreactions and skeletal rearrangement reactions Edited by Ken Tanaka, an internationally recognized expert inthe field of transition-metal catalysis, the book features authorswho are leading pioneers and researchers in synthetic reactions.Their contributions reflect a thorough review and analysis of theliterature as well as their own firsthand laboratory experiencedeveloping new aromatic compounds. All chapters end with a summary and outlook, setting forth newavenues of research and forecasting new discoveries. There are alsoreferences at the end of each chapter, guiding readers to importantoriginal research reports and reviews. In summary, Transition-Metal-Mediated Aromatic RingConstruction offers synthetic chemists a promising new avenuefor the development of important new aromatic compounds with abroad range of applications.

Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples

Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples PDF Author: William Heinzer
Publisher: American Mathematical Soc.
ISBN: 1470466422
Category : Education
Languages : en
Pages : 426

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Book Description
Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.

Commutative Ring Theory and Applications

Commutative Ring Theory and Applications PDF Author: Marco Fontana
Publisher: CRC Press
ISBN: 0203910621
Category : Mathematics
Languages : en
Pages : 520

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Book Description
Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome

Rings Related to Stable Range Conditions

Rings Related to Stable Range Conditions PDF Author: Huanyin Chen
Publisher: World Scientific
ISBN: 9814329711
Category : Mathematics
Languages : en
Pages : 680

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Book Description
This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories.

Some Applications of Theory to the Practice of Construction

Some Applications of Theory to the Practice of Construction PDF Author: Henry Wray
Publisher: BoD – Books on Demand
ISBN: 338217295X
Category : Fiction
Languages : en
Pages : 350

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Book Description
Reprint of the original, first published in 1872. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.

Some applications of theory to the practice of construction; a part of the course of instruction at the School of military engineering, Chatham

Some applications of theory to the practice of construction; a part of the course of instruction at the School of military engineering, Chatham PDF Author: Henry Wray
Publisher:
ISBN:
Category :
Languages : en
Pages : 440

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Book Description


The Modern Truck, Design, Construction, Operation, Repair, Commercial Applications

The Modern Truck, Design, Construction, Operation, Repair, Commercial Applications PDF Author: Victor Wilfred Pagé
Publisher:
ISBN:
Category : Trucks
Languages : en
Pages : 1020

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Book Description


The Model T Ford Car, Including Fordson Farm Tractor, Construction, Maintenance, Application, Operation, Service and Repair

The Model T Ford Car, Including Fordson Farm Tractor, Construction, Maintenance, Application, Operation, Service and Repair PDF Author: Victor Wilfred Pagé
Publisher:
ISBN:
Category : Ford automobile
Languages : en
Pages : 364

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The microscope; its history, construction, and application

The microscope; its history, construction, and application PDF Author: Jabez Hogg
Publisher:
ISBN:
Category : Microscopy
Languages : en
Pages : 812

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Book Description