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Titlebook: Algebra I; Textbook for Student Alexey L. Gorodentsev Textbook 2016 Springer International Publishing AG 2016 Fields.Rings.Modules.Groups.L

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发表于 2025-3-21 19:00:54 | 显示全部楼层 |阅读模式
期刊全称Algebra I
期刊简称Textbook for Student
影响因子2023Alexey L. Gorodentsev
视频video
发行地址Challenging amount of material thoughtfully organized for deep and fast learning.Large collection of exercises equipped with hints and a lot of problems for independent solution.Simple modern explanat
图书封面Titlebook: Algebra I; Textbook for Student Alexey L. Gorodentsev Textbook 2016 Springer International Publishing AG 2016 Fields.Rings.Modules.Groups.L
影响因子.This book is the first volume of an intensive “Russian-style” two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. .The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses..This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.. .
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Die Unwiderrufbarkeit der Einwilligung .. We have seen in Sect. . on p. 136 that every linear map is uniquely determined by its values on an arbitrarily chosen basis. In particular, every covector . ∈ .. is uniquely determined by numbers . as . runs trough some basis of .. The next lemma is a particular case of Proposition . on p. 137.
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Das Schutzbedürfnis des Individuumsboth the left multiplication map ..: . → ., . ↦ ., and the right multiplication map ..: . → ., . ↦ ., are linear. This means that multiplication of vectors by constants commutes with the algebra multiplication: (.). = .(.) = .(.) for all . and ., . ∈ ., and the standard distributive law holds for ad
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TEMEX und das allgemeine Recht,., called the . of .. By definition, points of . are 1-dimensional vector subspaces in ., or equivalently, lines in . passing through the origin. To observe such points as usual “dots,” we have to use a screen, that is, an .-dimensional affine hyperplane in . that does not pass through the origin (s
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https://doi.org/10.1007/978-3-658-37268-2resulting vector space over . is denoted by . and called the . of the complex vector space .. For every basis .., .., ., .. of . over ., the vectors .., .., ., .., .., .., ., .. form a basis of . over ., because for every . ∈ ., the uniqueness of the expansion . is equivalent to the uniqueness of th
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Datenschutz bei Wearable Computingvector . ∈ . with a ... Since . the Hermitian inner product is uniquely recovered from the norm function and the multiplication-by-. operator as . Note that this agrees with the general ideology of Kähler triples from Sect. . on p. 471.
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