Lectures In General Algebra
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Lectures In General Algebra
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Author : A. G. Kurosh
language : en
Publisher: Elsevier
Release Date : 2014-07-10
Lectures In General Algebra written by A. G. Kurosh and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University. The book starts with the basics of algebra. The text briefly describes the theory of sets, binary relations, equivalence relations, partial ordering, minimum condition, and theorems equivalent to the axiom of choice. The text gives the definition of binary algebraic operation and the concepts of groups, groupoids, and semigroups. The book examines the parallelism between the theory of groups and the theory of rings; such examinations show the convenience of constructing a single theory from the results of group experiments and ring experiments which are known to follow simple corollaries. The text also presents algebraic structures that are not of binary nature. From this parallelism arise other concepts, such as that of the lattices, complete lattices, and modular lattices. The book then proves the Schmidt-Ore theorem, and also describes linear algebra, as well as the Birkhoff-Witt theorem on Lie algebras. The text also addresses ordered groups, the Archimedean groups and rings, and Albert's theorem on normed algebras. This book can prove useful for algebra students and for professors of algebra and advanced mathematicians.
Lectures In General Algebra
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Author : Aleksandr G. Kuroš
language : en
Publisher:
Release Date : 1965
Lectures In General Algebra written by Aleksandr G. Kuroš and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Algebra categories.
Lectures On General Algebra
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Author : A G (Aleksandr Gennadievich) Kurosh
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
Lectures On General Algebra written by A G (Aleksandr Gennadievich) Kurosh and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Basic Structures Of Modern Algebra
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Author : Y. Bahturin
language : en
Publisher:
Release Date : 2014-01-15
Basic Structures Of Modern Algebra written by Y. Bahturin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Basic Structures Of Modern Algebra
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Author : Y. Bahturin
language : en
Publisher: Springer
Release Date : 1993-08-31
Basic Structures Of Modern Algebra written by Y. Bahturin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-31 with Mathematics categories.
This book has developed from a series of lectures which were given by the author in mechanics-mathematics department of the Moscow State University. In 1981 the course "Additional chapters in algebra" replaced the course "Gen eral algebra" which was founded by A. G. Kurosh (1908-1971), professor and head of the department of higher algebra for a period of several decades. The material of this course formed the basis of A. G. Kurosh's well-known book "Lectures on general algebra" (Moscow,1962; 2-nd edition: Moscow, Nauka, 1973) and the book "General algebra. Lectures of 1969-1970. " (Moscow, Nauka, 1974). Another book based on the course, "Elements of general al gebra" (M. : Nauka, 1983) was published by L. A. Skorniakov, professor, now deceased, in the same department. It should be noted that A. G. Kurosh was not only the lecturer for the course "General algebra" but he was also the recognized leader of the scientific school of the same name. It is difficult to determine the limits of this school; however, the "Lectures . . . " of 1962 men tioned above contain some material which exceed these limits. Eventually this effect intensified: the lectures of the course were given by many well-known scientists, and some of them see themselves as "general algebraists". Each lecturer brought significant originality not only in presentation of the material but in the substance of the course. Therefore not all material which is now accepted as necessary for algebraic students fits within the scope of general algebra.
Lectures In Abstract Algebra
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Author : N. Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures In Abstract Algebra written by N. Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II. In preparing this book we have had a number of objectives in mind. First and foremost has been that of presenting the basic field theory which is essential for an understanding of modern algebraic number theory, ring theory, and algebraic geometry. The parts of the book concerned with this aspect of the subject are Chapters I, IV, and V dealing respectively with finite dimen sional field extensions and Galois theory, general structure theory of fields, and valuation theory. Also the results of Chapter IlIon abelian extensions, although of a somewhat specialized nature, are of interest in number theory. A second objective of our ac count has been to indicate the links between the present theory of fields and the classical problems which led to its development.
Lectures In Abstract Algebra I
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Author : N. Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures In Abstract Algebra I written by N. Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under standing of a few topics is to be preferred to a superficial under standing of many. The second and third volumes of this work will be more special ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ!_JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses.
Lectures In Abstract Algebra
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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1966
Lectures In Abstract Algebra written by Nathan Jacobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Lectures On Algebraic Topology
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Author : Haynes R Miller
language : en
Publisher: World Scientific
Release Date : 2021-09-20
Lectures On Algebraic Topology written by Haynes R Miller and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Mathematics categories.
Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.
Lectures In Abstract Algebra 1 Basic Concepts
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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1964
Lectures In Abstract Algebra 1 Basic Concepts written by Nathan Jacobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Algebra, Abstract categories.