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Author: Aleksandr Gennadievich Kurosh
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages :
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Author: Aleksandr Gennadievich Kurosh
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages :
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Book Description
Author: A. G. Kurosh
Publisher: Elsevier
ISBN: 1483149579
Category : Mathematics
Languages : en
Pages : 375
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Book Description
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.
Author: Aleksandr G. Kuroš
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 335
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Author: Milton Walter Meyer
Publisher:
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Category :
Languages : en
Pages :
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Category :
Languages : it
Pages :
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Author:
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ISBN:
Category : United States
Languages : en
Pages : 1652
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Author: Aleksandr G. Kuroš
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: A. G. Kurosch
Publisher:
ISBN:
Category :
Languages : it
Pages :
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Author: Shreeram Shankar Abhyankar
Publisher: World Scientific
ISBN: 9812773444
Category : Mathematics
Languages : en
Pages : 758
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Book Description
This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author''s fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author''s lectures at Purdue University over the last few years.
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Category : American literature
Languages : en
Pages : 738
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