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On Higher Derivations And Higher Homomorphisms Of Prime Rings
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Book Synopsis On Higher Derivations and Higher Homomorphisms of Prime Rings by : Anwar Khaleel Faraj
Download or read book On Higher Derivations and Higher Homomorphisms of Prime Rings written by Anwar Khaleel Faraj and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work consists of three chapters. Chapter one contains fundamental concepts which are basic in our study, we extend N.M.Shammu's theorem to higher N-derivation (by giving the definition of higher N-derivation) and we have answered to the question of Haetinger and Cortes whether the result of Ferro and Haetinger is also true for Jordan generalized triple higher derivation. Chapter two is concerned with higher (U, R) -derivation and generalized higher (U, R) -derivation. We extend and generalized R. Awtar's theorem of derivation of prime ring by giving the concepts of (U, R)-derivation and generalized (U, R)-derivation. Then we extend and generalized this results to higher (U, R)-derivation and generalized (U, R) higher derivation by giving the corresponding definitions. Chapter three concerned with Jordan higher homomorphism and genraralized Jordan higher homomorphism. We extend Bresar's result of Jordan triple homomorphism of prime ring by giving the definitions of (Jordan, Jordan triple) higher homomorphism and we have introduced the definitions of generalized (Jordan, Jordan triple) higher homomorphism to study these concepts onto 2-torsion free prime
Book Synopsis Finiteness Properties of Higher Generalized Derivations in Prime Rings by : 楊淸鈞
Download or read book Finiteness Properties of Higher Generalized Derivations in Prime Rings written by 楊淸鈞 and published by . This book was released on 2009 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebra and its Applications by : Afzal Beg
Download or read book Algebra and its Applications written by Afzal Beg and published by ALPHA SCIENCE INTERNATIONAL LIMITED. This book was released on 2011-05-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra has been developing through the interaction between the investigation of its own algebraic structures and its applications to different areas of Mathematics and other branches of Science. This informative research volume consists of survey and original articles by reputed algebraists which are refereed by the experts in the relevant fields. The survey articles provide an excellent overview of the various areas of research in Algebra. The original articles by reputed algebraists in Ring Theory, Module Theory, Semigroup Theory, Lattice Theory, Category Theory, Derivations, Hyper and Fuzzy Structures etc. exhibit new ideas, tools needed for the successful applications and discuss new techniques and methodologies for current research in different branches of Algebra. Over 300 bibliographic references make Algebra and its Applications: Recent Developments an indispensable resource book for the beginners and advanced experts in Algebra.
Book Synopsis Commutative Ring Theory by : Hideyuki Matsumura
Download or read book Commutative Ring Theory written by Hideyuki Matsumura and published by Cambridge University Press. This book was released on 1989-05-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.
Book Synopsis Centralizing Derivations of Higher Order on Prime Rings by : Yiyuan Lu
Download or read book Centralizing Derivations of Higher Order on Prime Rings written by Yiyuan Lu and published by . This book was released on 1993 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 1995-12-18 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1972-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rings and Nearrings by : Mikhail Chebotar
Download or read book Rings and Nearrings written by Mikhail Chebotar and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of seven papers related in various matters to the research work of Kostia Beidar†, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics. Most papers are based on talks that were presented at the memorial conference which was held in March 2005 at NCKU.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1969 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Higher Derivations of a Plane Algebraic Curve Over a Field of Prime Characteristic by : Anne Larimer Ludington
Download or read book Higher Derivations of a Plane Algebraic Curve Over a Field of Prime Characteristic written by Anne Larimer Ludington and published by . This book was released on 1975 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial Automorphisms and the Jacobian Conjecture by : Arno van den Essen
Download or read book Polynomial Automorphisms and the Jacobian Conjecture written by Arno van den Essen and published by Springer Nature. This book was released on 2021-03-31 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the Jacobian Conjecture, the theory of Mathieu-Zhao spaces and counterexamples to the Cancellation problem in positive characteristic. These and many more results are discussed in detail in this work. The book is aimed at graduate students and researchers in the field of Affine Algebraic Geometry. Exercises are included at the end of each section.
Book Synopsis International Symposium on Ring Theory by : Gary F. Birkenmeier
Download or read book International Symposium on Ring Theory written by Gary F. Birkenmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the Proceedings of the Third Korea-China-Japan Inter national Symposium on Ring Theory held jointly with the Second Korea Japan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference is held every 4 years on a rotating basis. The first con ference was held in 1991 at Guilin, China. In 1995 the second conference took place in Okayama, Japan. At the second conference it was decided to include Korea, who hosted this conference of 1999. During the past century Ring Theory has diversified into many subar eas. This is reflected in these articles from over 25 well-known mathemati cians covering a broad range of topics, including: Classical Ring Theory, Module Theory, Representation Theory, and the theory of Hopf Algebras. Among these peer reviewed papers are invited survey articles as well as research articles. The survey articles provide an overview of various areas for researchers looking for a new or related field to investigate, while the research articles give the flavor of current research. We feel that the variety of related topics will stimulate interaction between researchers. Moreover the Open Problems section provides guidance for future research. This book should prove attractive to a wide audience of algebraists. Gary F. Birkenmeier, Lafayette, U. S. A.
Book Synopsis Topics in Field Theory by : G. Karpilovsky
Download or read book Topics in Field Theory written by G. Karpilovsky and published by Elsevier. This book was released on 1989-02-01 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods.Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year graduate algebra course. Thus it is assumed that the reader is familiar with basic ring-theoretic and group-theoretic concepts. A chapter on algebraic preliminaries is included, as well as a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1972-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke
Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Book Synopsis Bulletin of the American Mathematical Society by :
Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1970 with total page 1616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Ring Theory by : I. N. Herstein
Download or read book Topics in Ring Theory written by I. N. Herstein and published by . This book was released on 1969 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
