Linear Topologies on a Ring

Linear Topologies on a Ring PDF Author: Jonathan S. Golan
Publisher: Longman
ISBN:
Category : Filters (Mathematics)
Languages : en
Pages : 132

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Book Description

Linear Topologies on a Ring

Linear Topologies on a Ring PDF Author: Jonathan S. Golan
Publisher: Longman
ISBN:
Category : Filters (Mathematics)
Languages : en
Pages : 132

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Book Description


Topological Rings

Topological Rings PDF Author: S. Warner
Publisher: Elsevier
ISBN: 0080872891
Category : Mathematics
Languages : en
Pages : 509

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Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.

Rings with a Largest Proper Linear Topology

Rings with a Largest Proper Linear Topology PDF Author: W. Keith Nicholson
Publisher:
ISBN:
Category : Topological rings
Languages : en
Pages : 48

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Book Description


Abelian Groups, Module Theory, and Topology

Abelian Groups, Module Theory, and Topology PDF Author: Dikran Dikranjan
Publisher: CRC Press
ISBN: 0429530064
Category : Mathematics
Languages : en
Pages : 381

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Book Description
Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. Investigates currently popular topics such as Butler groups and almost completely decomposable groups.

Lecture Notes On Local Rings

Lecture Notes On Local Rings PDF Author: Birger Iversen
Publisher: World Scientific
ISBN: 9814603678
Category : Mathematics
Languages : en
Pages : 224

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Book Description
The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants.

Exercises in Basic Ring Theory

Exercises in Basic Ring Theory PDF Author: Grigore Calugareanu
Publisher: Springer Science & Business Media
ISBN: 9401590044
Category : Mathematics
Languages : en
Pages : 193

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Book Description
Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.

Rings and Radicals

Rings and Radicals PDF Author: R. Wiegandt
Publisher: CRC Press
ISBN: 9780582292819
Category : Mathematics
Languages : en
Pages : 276

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Book Description
First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

IP over WDM

IP over WDM PDF Author: Sudhir Dixit
Publisher: John Wiley & Sons
ISBN: 0471478350
Category : Technology & Engineering
Languages : en
Pages : 579

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Book Description
The key technology to delivering maximum bandwidth over networks is Dense Wave-length Division Multiplexing (DWDM) Describes in detail how DWDM works and how to implement a range of transmission protocols Covers device considerations, the pros and cons of various network layer protocols, and quality of service (QoS) issues The authors are leading experts in this field and provide real-world implementation examples First book to describe the interplay between the physical and IP (Internet Protocol) layers in optical networks

Commutative Ring Theory

Commutative Ring Theory PDF Author: H. Matsumura
Publisher: Cambridge University Press
ISBN: 1107717124
Category : Mathematics
Languages : en
Pages : 338

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Book Description
In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.

Manuals Combined: U.S. Navy FIRE CONTROLMAN Volumes 01 - 06 & FIREMAN

Manuals Combined: U.S. Navy FIRE CONTROLMAN Volumes 01 - 06 & FIREMAN PDF Author:
Publisher: Jeffrey Frank Jones
ISBN:
Category :
Languages : en
Pages : 1664

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Book Description
Over 1,600 total pages ... 14097 FIRE CONTROLMAN SUPERVISOR Covers Fire Controlman supervisor responsibilities, organization, administration, inspections, and maintenance; supervision and training; combat systems, subsystems, and their maintenance; and weapons exercises. 14098 FIRE CONTROLMAN, VOLUME 01, ADMINISTRATION AND SAFETY Covers general administration, technical administration, electronics safety, and hazardous materials as they pertain to the FC rating. 14099A FIRE CONTROLMAN, VOLUME 02--FIRE CONTROL SYSTEMS AND RADAR FUNDAMENTALS Covers basic radar systems, fire control systems, and radar safety as they relate to the Fire Controlman rating. 14100 FIRE CONTROLMAN, VOLUME 03--DIGITAL DATA SYSTEMS Covers computer and peripheral fundamentals and operations, configurations and hardware, operator controls and controlling units, components and circuits, central processing units and buses, memories, input/output and interfacing, instructions and man/machine interfaces, magnetic tape storage, magnetic disk storage, CD-ROM storage, printers, data conversion devices, and switchboards. 14101 FIRE CONTROLMAN, VOLUME 04--FIRE CONTROL MAINTENANCE CONCEPTS Introduces the Planned Maintenance System and discusses methods for identifying and isolating system faults, liquid cooling systems used by Fire Controlmen, battery alignment (purpose, equipment, and alignment considerations), and radar collimation. 14102 FIRE CONTROLMAN, VOLUME 05--DISPLAY SYSTEMS AND DEVICES Covers basic display devices and input devices associated with Navy tactical data systems as used by the FC rating. 14103 FIRE CONTROLMAN, VOLUME 06--DIGITAL COMMUNICATIONS Covers the fundamentals of data communications, the Link-11 and Link-4A systems, and local area networks. 14104A FIREMAN Provides information on the following subject areas: engineering administration; engineering fundamentals; the basic steam cycle; gas turbines; internal combustion engines; ship propulsion; pumps, valves, and piping; auxiliary machinery and equipment; instruments; shipboard electrical equipment; and environmental controls.