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Simple Extensions With The Minimum Degree Relations Of Integral Domains

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Simple Extensions With The Minimum Degree Relations Of Integral Domains

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Author : Susumu Oda
language : en
Publisher: CRC Press
Release Date : 2007-03-05

Simple Extensions With The Minimum Degree Relations Of Integral Domains written by Susumu Oda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-05 with Mathematics categories.

Simple Extensions With The Minimum Degree Relations Of Integral Domains

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Author : Susumu Oda
language : en
Publisher: CRC Press
Release Date : 2018-01-03

Although there are many types of ring extensions, simple extensions have yet to be thoroughly explored in one book. Covering an understudied aspect of commutative algebra, Simple Extensions with the Minimum Degree Relations of Integral Domains presents a comprehensive treatment of various simple extensions and their properties. In particular, it examines several properties of simple ring extensions of Noetherian integral domains. As experts who have been studying this field for over a decade, the authors present many arguments that they have developed themselves, mainly exploring anti-integral, super-primitive, and ultra-primitive extensions. Within this framework, they study certain properties, such as flatness, integrality, and unramifiedness. Some of the topics discussed include Sharma polynomials, vanishing points, Noetherian domains, denominator ideals, unit groups, and polynomial rings. Presenting a complete treatment of each topic, Simple Extensions with the Minimum Degree Relations of Integral Domains serves as an ideal resource for graduate students and researchers involved in the area of commutative algebra.

Syzygies And Hilbert Functions

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Author : Irena Peeva
language : en
Publisher: CRC Press
Release Date : 2007-03-20

Syzygies And Hilbert Functions written by Irena Peeva and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-20 with Mathematics categories.

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.

Virtual Topology And Functor Geometry

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Author : Fred Van Oystaeyen
language : en
Publisher: CRC Press
Release Date : 2007-11-15

Virtual Topology And Functor Geometry written by Fred Van Oystaeyen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-15 with Mathematics categories.

Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutat

Factoring Groups Into Subsets

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Author : Sandor Szabo
language : en
Publisher: CRC Press
Release Date : 2009-01-21

Factoring Groups Into Subsets written by Sandor Szabo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-21 with Mathematics categories.

Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups. Th

Method Of Averaging For Differential Equations On An Infinite Interval

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Author : Vladimir Burd
language : en
Publisher: CRC Press
Release Date : 2007-03-19

Method Of Averaging For Differential Equations On An Infinite Interval written by Vladimir Burd and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-19 with Mathematics categories.

In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the me

Localization And Perturbation Of Zeros Of Entire Functions

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Author : Michael Gil'
language : en
Publisher: CRC Press
Release Date : 2009-12-04

Localization And Perturbation Of Zeros Of Entire Functions written by Michael Gil' and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-04 with Mathematics categories.

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new a

Algebra In Action A Course In Groups Rings And Fields

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Author : Shahriar Shahriar
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-08-16

Algebra In Action A Course In Groups Rings And Fields written by Shahriar Shahriar 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 2017-08-16 with Mathematics categories.

This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2008

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

Handbook Of Mathematics

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Author : Vialar Thierry
language : en
Publisher: BoD - Books on Demand
Release Date : 2023-08-22

Handbook Of Mathematics written by Vialar Thierry and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-22 with Mathematics categories.

The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

Simple Extensions With The Minimum Degree Relations Of Integral Domains

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