派博傳思國際中心

標(biāo)題: Titlebook: Basic Algebra; Groups, Rings and Fi P. M. Cohn Textbook 2003 Springer-Verlag London Ltd., part of Springer Nature 2003 Algebra.Basic algebr [打印本頁]

作者: 延展    時(shí)間: 2025-3-21 19:57
書目名稱Basic Algebra影響因子(影響力)




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作者: Atrium    時(shí)間: 2025-3-21 23:13
978-1-4471-1060-6Springer-Verlag London Ltd., part of Springer Nature 2003
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作者: 思想流動(dòng)    時(shí)間: 2025-3-22 20:26
Public Choice and the Consumption Taxe same time the theory of algebras began to develop; its most important landmarks were the Wedderburn structure theorems for semisimple algebras, and the study of the radical. The theories merged when it was realized that the Wedderburn theorems could be stated more generally for Artinian rings. Thi
作者: 發(fā)酵劑    時(shí)間: 2025-3-22 21:17

作者: essential-fats    時(shí)間: 2025-3-23 01:51
Heidelberg Congress on Taxing Consumptionction 7.1 field extensions are described, and the special case of splitting fields is introduced in Section 7.2, leading to the notion of algebraic closure (Section 7.3). In Section 7.4 we examine the problems arising in finite characteristic. One of the main tools in this study is Galois theory and
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作者: 憲法沒有    時(shí)間: 2025-3-23 22:31
Sets,e form of Zorn’s lemma. These topi cs occupy Sections 1.1 and 1.2. They are followed in Section 1.3 by an introduction to graph theory. This is an extensive theory with many applications in algebra and elsewhere; all we shall do here is to present a few basic results, some of which will be used later, which convey the flavour of the topic.
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作者: 墻壁    時(shí)間: 2025-3-24 21:00
Heidelberg Congress on Taxing Consumptionis chapter deals with some notions of importance in elucidating the structure of groups, such as solubility, nilpotence (Section 2.4) and commutator subgroups (Section 2.5). In Section 2.6 we describe the constructions of Frattini and Fitting, which have their counterpart in rings in the form of the radical.
作者: Heterodoxy    時(shí)間: 2025-3-25 02:40
Sets,e form of Zorn’s lemma. These topi cs occupy Sections 1.1 and 1.2. They are followed in Section 1.3 by an introduction to graph theory. This is an extensive theory with many applications in algebra and elsewhere; all we shall do here is to present a few basic results, some of which will be used late
作者: artifice    時(shí)間: 2025-3-25 07:18

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作者: concentrate    時(shí)間: 2025-3-25 20:55
Multilinear Algebra,nt example is given by free algebras, which are discussed in Section 6.2, as well as the related notions of tensor algebra and symmetric algebra on a .-module . A graded algebra has an important invariant, its Hilbert series, essentially a power series whose coefficients indicate the dimensions of t
作者: deactivate    時(shí)間: 2025-3-26 01:19
Field Theory,ction 7.1 field extensions are described, and the special case of splitting fields is introduced in Section 7.2, leading to the notion of algebraic closure (Section 7.3). In Section 7.4 we examine the problems arising in finite characteristic. One of the main tools in this study is Galois theory and
作者: 條街道往前推    時(shí)間: 2025-3-26 06:27

作者: Cpap155    時(shí)間: 2025-3-26 11:35
Valuation Theory,mulation leads to the introduction of topological concepts like completion, which provides a powerful tool. It also emphasizes the parallel with the absolute value on the real and complex numbers. After the initial definitions (in Section 9.1) we shall prove the essential uniqueness of the absolute
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作者: Blanch    時(shí)間: 2025-3-26 21:05
Rings and Modules,nd injective module (Section 4.7), and they can usefully be introduced here, as they will occur again in Chapter 10, although their main use will be in FA. Other important notions introduced here are those of matrix ring (Section 4.4) and tensor product (Section 4.8).
作者: Mitigate    時(shí)間: 2025-3-27 03:32

作者: Melanoma    時(shí)間: 2025-3-27 06:08
Consumption Taxation and Democratic Processnd injective module (Section 4.7), and they can usefully be introduced here, as they will occur again in Chapter 10, although their main use will be in FA. Other important notions introduced here are those of matrix ring (Section 4.4) and tensor product (Section 4.8).
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作者: rheumatology    時(shí)間: 2025-3-28 03:40
Valuation Theory,bsolute value on the real and complex numbers. After the initial definitions (in Section 9.1) we shall prove the essential uniqueness of the absolute value on . and . (in Section 9.2) and go on to describe the .-adic numbers in Section 9.3 and integral elements in Section 9.4, before looking at simple cases of the extension problem in Section 9.5.
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作者: 不能根除    時(shí)間: 2025-3-28 15:09
Consumption Taxation and Democratic Processra which is nil but not nilpotent, and a finitely generated infinite .-group , are sketched in the exercises. Finally Section 6.4 deals with exterior algebras, providing a simple derivation of determinants, and giving a brief geometrical application.
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作者: 摘要    時(shí)間: 2025-3-29 01:13

作者: 令人苦惱    時(shí)間: 2025-3-29 04:15
Quadratic Forms and Ordered Fields,ers in Section 8.7 and formally real fields in Section 8.8. Some of the later topics are included for completeness, but do not really have a place in a basic account; thus at a first reading the later parts of Sections 8.7-8.11 can be omitted.
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作者: Adulate    時(shí)間: 2025-3-29 12:20
Textbook 2003he most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. ..In this first volume, the author
作者: 我的巨大    時(shí)間: 2025-3-29 15:45
Public Choice and the Consumption Taxorem) will be reserved for FA. As a preparation for this study we examine the form the tensor product takes for algebras in Section 5.4, and in Section 5.5 we introduce scalar invariants. In Section 5.6 algebras are used to define an important number-theoretic function, the Mobius function.
作者: ethnology    時(shí)間: 2025-3-29 20:12
https://doi.org/10.1007/978-3-663-01112-5algebraic geometry, besides being of independent interest : separability (Sections 11.4 and n .s), the interactions of two or more subfields (Sections 11.6 and 11.7), applications of Galois theory (Section 11.9) and abelian extensions of finite exponent (Section 11.10).




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