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Titlebook: Basic Structures of Modern Algebra; Yuri Bahturin Book 1993 Springer Science+Business Media Dordrecht 1993 Homological algebra.Vector spac

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期刊全稱Basic Structures of Modern Algebra
影響因子2023Yuri Bahturin
視頻videohttp://file.papertrans.cn/182/181165/181165.mp4
學(xué)科分類Mathematics and Its Applications
圖書封面Titlebook: Basic Structures of Modern Algebra;  Yuri Bahturin Book 1993 Springer Science+Business Media Dordrecht 1993 Homological algebra.Vector spac
影響因子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 ma
Pindex Book 1993
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Varieties of Algebras,hat . is an .-ary (or .-local) operation on ., i.e. . is a mapping from . into .. For . = 0 the mapping . simply fixes an element from . (it can be assumed that . ∈ .). For instance, a multiplicative group . with unit . and inverse element .. for . ∈ . is a universal algebra with set of operations .
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Groups,ore, is representable in the form ./., where . is some maximal ideal. Further, as was mentioned already, ./. is a field which is finitely generated over . as an algebra. From the Hilbert Nullstellensatz follows that each element from ./. is algebraic over ., i.e. ./. is a finitely generated algebrai
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