Ring Theory 83 Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Ring Theory 83 book. This book definitely worth reading, it is an incredibly well-written.
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS
A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.
Groups, Rings and Galois Theory by Victor Percy Snaith Pdf
This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups ? including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.
Groups, Rings and Galois Theory by Victor P Snaith Pdf
This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups — including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.
Contemporary Ring Theory 2011 by Jin Yong Kim,Chan Huh,Yang Lee,Tai Keun Kwak Pdf
The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Köthe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences. This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China–Japan–Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory. Contents:Rings Over Which Polynomial Rings are NI (Juncheol Han, Yang Lee and Sung Pil Yang)The Galois Map and Its Induced Maps (George Szeto and Lianyong Xue)Notes on Weakly d-Koszul Modules (Jiafeng Lü and Xiaolan Yu)An Extension of Rings and Hochschild 2-Cocycles (M Tamer Koşan, Tsiu-Kwen Lee and Yiqiang Zhou)When Do the Direct Sums of Modules Inherit Certain Properties? (Gangyong Lee, S Tariq Rizvi and Cosmin Roman)Notes on Simple-Baer Modules and Rings (Lixin Mao)A Note on Quasi-Johns Rings (Liang Shen)Von Neumann Regular Rings Satisfying Generalized Almost Comparability (Mamoru Kutami)A New Pseudorandom Number Generator AST (Huiling Song)A Note on Prime Rings with Left Derivations (Nadeem ur Rehman)On Rings in Which Every Ideal is Prime (Hisaya Tsutsui)Some Commutativity Theorems Concerning Additive Mappings and Derivations on Semiprime Rings (Shakir Ali, Basudeb Dhara and Ajda Fošner)Study on the Algebraic Structures in Terms of Geometry and Deformation Theory (Fumiya Suenobu and Fujio Kubo)On the Faith Conjecture (Kiyoichi Oshiro)A Short Proof that Continuous Modules are Clean (V P Camillo, D Khurana, T Y Lam, W K Nicholson and Y Zhou)Structures on S.G. Near-Rings and -Groups (Yong Uk Cho)Imprimitive Regular Action in the Ring of Integers Modulo n (Juncheol Han, Yang Lee and Sangwon Park)On Symmetric Biderivations of Semiprime Rings (Asma Ali and Faiza Shujat)τ-Projective and Strongly τ-Projective Modules (Ismail Amin, Yasser Ibrahim and Mohamed Yousif) Readership: Graduate students and researchers in ring theory and its applications in mathematics, physics and computer science. Keywords:Ring Theory;Module Theory
Contemporary Ring Theory 2011 by Jin Yong Kim,Chan Huh,Yang Lee Pdf
The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Köthe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences.This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China–Japan–Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.
The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
