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Titlebook: Algebra II; Chapters 4 - 7 Nicolas Bourbaki Textbook 2003 Springer-Verlag GmbH Germany, part of Springer Nature 2003 MSC (2000): 12-02, 13-

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發(fā)表于 2025-3-21 16:18:42 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebra II
期刊簡稱Chapters 4 - 7
影響因子2023Nicolas Bourbaki
視頻videohttp://file.papertrans.cn/153/152470/152470.mp4
圖書封面Titlebook: Algebra II; Chapters 4 - 7 Nicolas Bourbaki Textbook 2003 Springer-Verlag GmbH Germany, part of Springer Nature 2003 MSC (2000): 12-02, 13-
影響因子.This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki‘s, .Algèbre., Chapters 4 to 7 (1981). ..This?completes .Algebra., 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regularextensions. Chapter 6 treats ordered groups and fields and based on it is Chapter 7: modules over a p.i.d. studies of torsion modules, free modules, finite type modules, with applications to abelian groups and endomorphisms of ve
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發(fā)表于 2025-3-21 20:37:43 | 只看該作者
Commutative Fields,the algebra homomorphisms are unital, every subalgebra of an algebra contains the unit element of that algebra. Whenever a field K is said to be contained in a ring L (in particular in a field) without further specification, it is understood that K is a subring of L; we shall also say that K is a su
板凳
發(fā)表于 2025-3-22 02:53:43 | 只看該作者
Ordered groups and fields,ase being that of .. Unless explicitly stated otherwise, we will use . notation for the composition law in all groups and monoids under study. On the other hand, as we go along we will present certain important algebraic applications of the theory of ordered groups and monoids, and we will according
地板
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https://doi.org/10.1007/978-3-658-22046-4the algebra homomorphisms are unital, every subalgebra of an algebra contains the unit element of that algebra. Whenever a field K is said to be contained in a ring L (in particular in a field) without further specification, it is understood that K is a subring of L; we shall also say that K is a su
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https://doi.org/10.1007/978-3-642-61698-3MSC (2000): 12-02, 13-02, 12Fxx, 12J15, 13F10, 13C10, 12E05,; YellowSale2006; commutative fields; order
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978-3-540-00706-7Springer-Verlag GmbH Germany, part of Springer Nature 2003
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發(fā)表于 2025-3-23 08:59:01 | 只看該作者
Modules over principal ideal domains,Recall (I, p. 104) that an ideal of a commutative ring A is said to be . if it has the form (.)= A. for some . ∈ A.
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