標(biāo)題: Titlebook: Commutative Algebra; with a View Toward A David Eisenbud Textbook 1995 Springer Science+Business Media New York 1995 Algebraic Geometry.alg [打印本頁] 作者: 女孩 時(shí)間: 2025-3-21 16:51
書目名稱Commutative Algebra影響因子(影響力)
書目名稱Commutative Algebra影響因子(影響力)學(xué)科排名
書目名稱Commutative Algebra網(wǎng)絡(luò)公開度
書目名稱Commutative Algebra網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Commutative Algebra被引頻次
書目名稱Commutative Algebra被引頻次學(xué)科排名
書目名稱Commutative Algebra年度引用
書目名稱Commutative Algebra年度引用學(xué)科排名
書目名稱Commutative Algebra讀者反饋
書目名稱Commutative Algebra讀者反饋學(xué)科排名
作者: 非秘密 時(shí)間: 2025-3-21 21:22 作者: WATER 時(shí)間: 2025-3-22 03:13 作者: 量被毀壞 時(shí)間: 2025-3-22 05:52 作者: 毗鄰 時(shí)間: 2025-3-22 10:22
https://doi.org/10.1007/978-94-010-3629-0m a sequence of ideals $R = I_0supset I_1supset I_2supset ... {
m satisfying} I_iJ_jsupset I_{i+j}quad {
m for all} i,j.$ A third such construction, the Rees algebra, is treated at the end of the next chapter, and sheds some light on the results we shall prove about the associated graded ring. Chapt作者: chiropractor 時(shí)間: 2025-3-22 15:06 作者: chiropractor 時(shí)間: 2025-3-22 17:15 作者: Regurgitation 時(shí)間: 2025-3-23 00:00
Soviet Schooling in the Second World Wareory before, you may find it difficult to understand the material in detail. I suggest that you browse through Chapter 8 without worrying about the details during the first reading; I hope that it will tell you something of what is significant in the theory. In Chapter 9 I have begun the subject aga作者: mortuary 時(shí)間: 2025-3-23 01:58
Imposing a System: The New Territoriesoved earlier in this book, before we had the language to describe them: the characterization of dimension zero from Chapter 2 and the properties of integral maps (relative dimension zero) from Chapter 4. To make this chapter and what follows independent of the introductory Chapter 8, we repeat a few作者: Glycogen 時(shí)間: 2025-3-23 05:52
World War – Without the Russianstained in a proper principal ideal has codimension 0. .: If on the contrary, . ? . ? (.) in a ring ., with . and . prime, then factoring out . we can assume that . = 0, and thus that . is a domain. If . ∈ ., then . = . for some ., and since . ? . it follows that . ∈ .; thus . = .. By Corollary 4.7, 作者: 被詛咒的人 時(shí)間: 2025-3-23 10:59
https://doi.org/10.1057/9780230373136forth. The commutative algebra of codimension one is correspondingly rich. In this chapter we digress from the presentation of dimension theory and use the results of Chapters 9 and 10 to analyze some codimension-1 phenomena. In particular, we shall study “invertible” modules; give a criterion for a作者: lattice 時(shí)間: 2025-3-23 17:01 作者: 褲子 時(shí)間: 2025-3-23 20:37
Studies in Soviet History and Society, how do the “fibers” . ?. .(.) vary as we vary the prime . of .? If . is flat over ., then as we have seen, there is some sense in which the fibers vary continuously. The main result below, Grothendieck’s generic freeness lemma, a consequence of the Noether normalization theorem, implies that if . 作者: 含糊其辭 時(shí)間: 2025-3-24 00:03
Graduate Texts in Mathematicshttp://image.papertrans.cn/c/image/230751.jpg作者: 可以任性 時(shí)間: 2025-3-24 04:42
Wesley T. Huntress Jr.,Mikhail Ya. MarovIt has seemed to me for a long time that commutative algebra is best practiced with knowledge of the geometric ideas that played a great role in its formation: in short, with a view toward algebraic geometry.作者: QUAIL 時(shí)間: 2025-3-24 09:20
Wesley T. Huntress Jr.,Mikhail Ya. MarovFor the sake of establishing a common language, this chapter introduces some notation and elementary definitions such as would appear in many undergraduate algebra courses.作者: 強(qiáng)制令 時(shí)間: 2025-3-24 12:12 作者: 步兵 時(shí)間: 2025-3-24 16:50
Studies in Soviet History and SocietyWe shall work throughout this chapter with a polynomial ring . = .[., …, .] over a field .. The elements of . will be called .. All .-modules mentioned will be assumed finitely generated.作者: Forage飼料 時(shí)間: 2025-3-24 20:54
IntroductionIt has seemed to me for a long time that commutative algebra is best practiced with knowledge of the geometric ideas that played a great role in its formation: in short, with a view toward algebraic geometry.作者: 燦爛 時(shí)間: 2025-3-25 00:18 作者: 出沒 時(shí)間: 2025-3-25 07:19
Dimension and Hilbert-Samuel PolynomialsIn this section we present a characterization of dimension that yields other important invariants and that is well suited to computation using techniques to be developed in Chapter 15. Throughout we shall write . for a local ring with maximal ideal m. All modules will be finitely generated .-modules unless otherwise stated.作者: 摻和 時(shí)間: 2025-3-25 09:08 作者: 克制 時(shí)間: 2025-3-25 14:37
Commutative Algebra978-1-4612-5350-1Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 誘導(dǎo) 時(shí)間: 2025-3-25 18:41 作者: definition 時(shí)間: 2025-3-26 00:01 作者: 投射 時(shí)間: 2025-3-26 00:18 作者: 有節(jié)制 時(shí)間: 2025-3-26 05:46
https://doi.org/10.1007/978-94-010-3670-2sion. The notion of flatness was first isolated by Serre [1955–56] and was then systematically developed and mined by Grothendieck. It is now a central theme in algebraic geometry and commutative algebra.作者: ALLEY 時(shí)間: 2025-3-26 11:52 作者: 笨重 時(shí)間: 2025-3-26 13:48
Roots of Commutative Algebrand 1893. Three major strands of nineteenth-century activity lie behind commutative algebra and are still its primary fields of application: number theory, algebraic geometry (the algebraic aspect really begins with Riemann’s “function theory”), and invariant theory. We shall say a little about developments in each.作者: 增長 時(shí)間: 2025-3-26 17:56
Localizationechnique of . reduces many problems in commutative algebra to problems about local rings. This often turns out to be extremely useful: Most of the problems with which commutative algebra has been successful are those that can be reduced to the local case.作者: JAMB 時(shí)間: 2025-3-26 22:09 作者: mechanical 時(shí)間: 2025-3-27 02:41 作者: 爵士樂 時(shí)間: 2025-3-27 07:26
Fundamental Definitions of Dimension Theoryoved earlier in this book, before we had the language to describe them: the characterization of dimension zero from Chapter 2 and the properties of integral maps (relative dimension zero) from Chapter 4. To make this chapter and what follows independent of the introductory Chapter 8, we repeat a few definitions.作者: 寬容 時(shí)間: 2025-3-27 13:31
https://doi.org/10.1007/978-1-4612-5350-1Algebraic Geometry; algebra; algebraic geometry; category theory; cohomology; colimit; commutative algebra作者: overweight 時(shí)間: 2025-3-27 16:34
978-0-387-94269-8Springer Science+Business Media New York 1995作者: Complement 時(shí)間: 2025-3-27 21:37
Textbook 1995wards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connectio作者: 用肘 時(shí)間: 2025-3-27 21:57
https://doi.org/10.1007/978-94-010-3670-2ld and . = .[., …, .]/., then the completion of . with respect to . = (., …, .) is the ring .[[., …, .]]//.[[., …, .]]. General completions can similarly be defined in terms of formal power series (Exercise 7.11), but we shall give an intrinsic development.作者: CT-angiography 時(shí)間: 2025-3-28 03:48 作者: 方舟 時(shí)間: 2025-3-28 06:18
Completions and Hensel’s Lemmald and . = .[., …, .]/., then the completion of . with respect to . = (., …, .) is the ring .[[., …, .]]//.[[., …, .]]. General completions can similarly be defined in terms of formal power series (Exercise 7.11), but we shall give an intrinsic development.作者: 煤渣 時(shí)間: 2025-3-28 12:40
Dimension and Codimension Onend some consequences of normality, including a bit of the theory of Dedekind domains; study the length of a one-dimensional ring modulo a principal ideal; and prove that the integral closure of a one-dimensional Noetherian domain is Noetherian.作者: adequate-intake 時(shí)間: 2025-3-28 16:50 作者: 任意 時(shí)間: 2025-3-28 22:37 作者: 披肩 時(shí)間: 2025-3-28 23:33
0072-5285 a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their作者: 棲息地 時(shí)間: 2025-3-29 06:47 作者: insightful 時(shí)間: 2025-3-29 10:28
Soviet Schooling in the Second World Wartails during the first reading; I hope that it will tell you something of what is significant in the theory. In Chapter 9 I have begun the subject again, with a self-contained and more elementary account. None of the actual results and definitions in Chapter 8 will be required for understanding the rest of the book.作者: affinity 時(shí)間: 2025-3-29 13:15 作者: Terrace 時(shí)間: 2025-3-29 16:02 作者: cartilage 時(shí)間: 2025-3-29 19:58
Studies in Soviet History and Societyary continuously. The main result below, Grothendieck’s generic freeness lemma, a consequence of the Noether normalization theorem, implies that if . ? . are domains, then flatness always holds over a nonempty open set of ., so that “most” fibers share common properties.作者: Debility 時(shí)間: 2025-3-30 01:36
Filtrations and the Artin-Rees Lemmahe Rees algebra, is treated at the end of the next chapter, and sheds some light on the results we shall prove about the associated graded ring. Chapter 7 will be devoted to a fourth example, the completion. Each is used to get information about . by comparing it with a closely related ring that is simpler in some way.作者: Hectic 時(shí)間: 2025-3-30 05:06 作者: 小教堂 時(shí)間: 2025-3-30 10:09
The Principal Ideal Theorem and Systems of Parametersassume that . = 0, and thus that . is a domain. If . ∈ ., then . = . for some ., and since . ? . it follows that . ∈ .; thus . = .. By Corollary 4.7, (1 - .). = 0 for some . ∈ (.). Since . is a domain, we must have . = 1, so (.) is not proper, a contradiction.作者: 命令變成大炮 時(shí)間: 2025-3-30 12:30
The Dimension of Affine Rings famous results: Hilbert’s Nullstellensatz, Noether’s theorem on the finiteness of the integral closure of an affine domain, and, in the next chapter, Grothendieck’s lemma of generic freeness, with its applications to the semi-continuity of fiber dimensions.作者: BUST 時(shí)間: 2025-3-30 18:07 作者: Precursor 時(shí)間: 2025-3-30 22:23 作者: Figate 時(shí)間: 2025-3-31 03:22 作者: hemophilia 時(shí)間: 2025-3-31 07:40
Associated Primes and Primary Decompositionheorists to make use of unique factorization in rings of integers in number fields other than .. When it became clear that unique factorization did not always hold, the search for the strongest available alternative began. The theory of primary decomposition is the direct result of that search. Give作者: CAMEO 時(shí)間: 2025-3-31 09:14
Integral Dependence and the Nullstellensatzs goal, it is often important to adjoin a solution of a polynomial equation in one variable: Given a ring . and a polynomial .(.) ∈ .[.], the ring .[.]/(.) may be thought of as the result of adjoining a root of . to . as freely as possible; the root adjoined is of course the image of ..作者: 高興去去 時(shí)間: 2025-3-31 15:35
Filtrations and the Artin-Rees Lemmam a sequence of ideals $R = I_0supset I_1supset I_2supset ... {
m satisfying} I_iJ_jsupset I_{i+j}quad {
m for all} i,j.$ A third such construction, the Rees algebra, is treated at the end of the next chapter, and sheds some light on the results we shall prove about the associated graded ring. Chapt作者: 證明無罪 時(shí)間: 2025-3-31 21:06 作者: 抱負(fù) 時(shí)間: 2025-4-1 00:56
Completions and Hensel’s Lemmas usually applied in the case where . is a local ring and . is the maximal ideal. If . is a polynomial ring . = .[., …, .] over a field, and . = (., …, .) is the ideal generated by the variables, then the completion is the ring .[[.,…, .]] of formal power series over .. More generally, if . is a fie作者: DIKE 時(shí)間: 2025-4-1 04:05
