標題: Titlebook: Classical Theory of Algebraic Numbers; Paulo Ribenboim Textbook 2001Latest edition Springer Science+Business Media New York 2001 algebra.a [打印本頁] 作者: 租期 時間: 2025-3-21 18:19
書目名稱Classical Theory of Algebraic Numbers影響因子(影響力)
書目名稱Classical Theory of Algebraic Numbers影響因子(影響力)學科排名
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書目名稱Classical Theory of Algebraic Numbers網(wǎng)絡公開度學科排名
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書目名稱Classical Theory of Algebraic Numbers被引頻次學科排名
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書目名稱Classical Theory of Algebraic Numbers讀者反饋
書目名稱Classical Theory of Algebraic Numbers讀者反饋學科排名
作者: patriarch 時間: 2025-3-21 23:42 作者: Palliation 時間: 2025-3-22 02:57
The Decomposition of Prime Ideals in Galois Extensionse a prime ideal of ., and let . be the decomposition of . into a product of prime ideals, with .. We shall study in more detail how this decomposition takes place. This has been done by Hilbert, assuming that .|. is a Galois extension.作者: Gustatory 時間: 2025-3-22 05:38
Textbook 2001Latest editionhis attempt to prove Fermat‘s Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the classical papers of Dedekind, Dirichlet, Eisenstein, Hermite and many others. This theory, enriched with more recent contributions, is of basic importance in the study of 作者: 奇怪 時間: 2025-3-22 12:29 作者: TRUST 時間: 2025-3-22 15:07
https://doi.org/10.1007/978-1-4613-8345-1respectively, .), be the rings of algebraic integers of . (respectively, .). Let . be any nonzero fractional ideal of .. The aim of this study is to relate the decomposition of . into prime ideals of ., with the decomposition into prime ideals of ., of the fractional ideal of . generated by ..作者: TRUST 時間: 2025-3-22 18:25 作者: Fibrillation 時間: 2025-3-22 23:04
Research Issues in Learning Disabilitiese a prime ideal of ., and let . be the decomposition of . into a product of prime ideals, with .. We shall study in more detail how this decomposition takes place. This has been done by Hilbert, assuming that .|. is a Galois extension.作者: AROMA 時間: 2025-3-23 04:03 作者: 用不完 時間: 2025-3-23 05:39
https://doi.org/10.1007/978-1-4613-8345-1respectively, .), be the rings of algebraic integers of . (respectively, .). Let . be any nonzero fractional ideal of .. The aim of this study is to relate the decomposition of . into prime ideals of ., with the decomposition into prime ideals of ., of the fractional ideal of . generated by ..作者: 平躺 時間: 2025-3-23 12:40
Candace S. Bos,Virginia Richardsonthis situation, . need not be a principal ideal domain and . need not be a free .-module. We shall introduce the relative trace and norm of fractional ideals of . and, in view of characterizing ramified prime ideals, we shall consider the relative discriminant and relative different.作者: circuit 時間: 2025-3-23 14:41
Research Issues in Learning Disabilitiese a prime ideal of ., and let . be the decomposition of . into a product of prime ideals, with .. We shall study in more detail how this decomposition takes place. This has been done by Hilbert, assuming that .|. is a Galois extension.作者: 姑姑在炫耀 時間: 2025-3-23 20:07
https://doi.org/10.1007/978-0-387-21690-4algebra; algebraic geometry; automorphism; cryptography; diophantine equation; field; prime number; quadrat作者: indignant 時間: 2025-3-24 01:08 作者: 對手 時間: 2025-3-24 04:41
Extension of Idealsrespectively, .), be the rings of algebraic integers of . (respectively, .). Let . be any nonzero fractional ideal of .. The aim of this study is to relate the decomposition of . into prime ideals of ., with the decomposition into prime ideals of ., of the fractional ideal of . generated by ..作者: 一罵死割除 時間: 2025-3-24 10:00 作者: 打谷工具 時間: 2025-3-24 12:56
The Decomposition of Prime Ideals in Galois Extensionse a prime ideal of ., and let . be the decomposition of . into a product of prime ideals, with .. We shall study in more detail how this decomposition takes place. This has been done by Hilbert, assuming that .|. is a Galois extension.作者: Fierce 時間: 2025-3-24 15:25
Universitexthttp://image.papertrans.cn/c/image/227139.jpg作者: 喃喃而言 時間: 2025-3-24 21:21
Navigating Sensitive Topics with Children,Let A be a domain, that is, a commutative ring with unit element (different from 0), having no zero-divisors (except 0). Let . be its field of quotients.作者: 不知疲倦 時間: 2025-3-25 02:54 作者: Psa617 時間: 2025-3-25 04:53 作者: 健忘癥 時間: 2025-3-25 07:36
https://doi.org/10.1007/978-3-031-01750-6In this chapter we investigate the following question. Let . > 1 and let a be an integer relatively prime to .. When is the residue class ā a square in the multiplicative group P(.)? In other words, when does there exist an integer . such that .. ≡ a (mod .)?作者: 承認 時間: 2025-3-25 12:56 作者: osteopath 時間: 2025-3-25 19:27 作者: 反話 時間: 2025-3-25 21:35 作者: patriarch 時間: 2025-3-26 01:28 作者: Visual-Acuity 時間: 2025-3-26 06:51
Academic Assessment and InstrumentationIn this chapter we study the discriminant. A method of “Geometry of Numbers” is used to provide sharper estimates for the discriminant.作者: Gene408 時間: 2025-3-26 12:08
Academic Assessment and InstrumentationAs we have said, two elements of a domain are associated precisely when they generate the same ideal. Thus, by considering ideals, we ignore the units. However, it will become apparent that a number of arithmetic properties are intimately tied up with the units of the ring of integers . of the algebraic number field ..作者: myopia 時間: 2025-3-26 13:20
https://doi.org/10.1007/978-1-4613-8345-1For the convenience of the reader, this chapter is devoted to the detailed presentation of algebraic results, which will be needed in the sequel.作者: transdermal 時間: 2025-3-26 19:42 作者: 外來 時間: 2025-3-26 22:03 作者: Extort 時間: 2025-3-27 04:13 作者: 污點 時間: 2025-3-27 08:26
Commutative FieldsFor the convenience of the reader we recall some definitions and facts about commutative fields.作者: Anguish 時間: 2025-3-27 09:33
Residue ClassesIn this chapter, we study residue classes modulo a natural number. This leads to the consideration of groups. Therefore it is convenient to recall that if . is a finite group, the number of elements of . is called the . of ., denoted by ..作者: 配置 時間: 2025-3-27 16:22 作者: goodwill 時間: 2025-3-27 20:56
Algebraic IntegersThe arithmetic of the field of rational numbers is mainly the study of divisibility properties with respect to the ring of integers.作者: 貿易 時間: 2025-3-28 00:01
Integral Basis, DiscriminantWe have seen in the numerical examples of the preceding chapter that the ring of algebraic integers of a quadratic number field, and also of the cyclotomic field ?(ζ) (where ζ is a primitive .th root of unity), are free finitely generated Abelian groups.作者: Obstruction 時間: 2025-3-28 05:55
The Decomposition of IdealsWe have shown that the ring . of algebraic integers of an algebraic number field is Noetherian and integrally closed. However, it is not true in general that . is a principal ideal domain.作者: ADJ 時間: 2025-3-28 10:18
The Norm and Classes of IdealsWe know already that the ring . of integers of an algebraic number field . need not be a principal ideal domain. In this chapter, we associate with every field . a numerical invariant ., which measures the extent to which . deviates from being a principal ideal domain. . will be equal to 1 if and only if . is a principal ideal domain.作者: OGLE 時間: 2025-3-28 14:12
Estimates for the DiscriminantIn this chapter we study the discriminant. A method of “Geometry of Numbers” is used to provide sharper estimates for the discriminant.作者: 未開化 時間: 2025-3-28 14:51 作者: 龍蝦 時間: 2025-3-28 22:29 作者: oracle 時間: 2025-3-29 00:52
The Fundamental Theorem of Abelian ExtensionsIn Chapter 2, Section 8, we have stated that every cyclotomic field ?(ζ) (where ζ is a primitive .th root of 1, . > 2) is an Abelian extension of ?.作者: FOLLY 時間: 2025-3-29 03:13
Complements and Miscellaneous Numerical ExamplesIn this chapter we shall work out some numerical examples to illustrate the theories developed so far. We shall also add some complements.作者: Palter 時間: 2025-3-29 08:07
0172-5939 mification of ideals. Part Three is devoted to Kummer‘s theory of cyclomatic fields, and includes Bernoulli numbers and the proof of Fermat‘s Last Theorem for r978-1-4419-2870-2978-0-387-21690-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 作者: Noisome 時間: 2025-3-29 11:47 作者: 易怒 時間: 2025-3-29 17:52 作者: 冷淡周邊 時間: 2025-3-29 20:14 作者: 發(fā)源 時間: 2025-3-30 00:08 作者: 辯論的終結 時間: 2025-3-30 07:57
Marketing im Jahr 1995: Ein Szenario für die Zukunft für die man noch einen passenden Namen finden mu?. Einige haben dafür den amerikanischen Begriff . gepr?gt. Welchen Begriff auch immer man verwendet, diese neue Technologie — die ihre Wurzel in der Mikroelektronik hat — wird mit Sicherheit die gegenw?rtig eingesetzten Marketingsysteme bis zum Ende dieses Jahrhunderts ver?ndern.作者: 新字 時間: 2025-3-30 09:17 作者: 艱苦地移動 時間: 2025-3-30 13:02 作者: AROMA 時間: 2025-3-30 18:00
Book 2016measurement results and recognize when it is better to rely on qualitative expertise. .The target readership includes both practitioners and researchers. By demonstrating its impact and providing clear guidelines, data, and examples, it encourages practitioners to conduct architecture evaluations. A作者: 鎮(zhèn)壓 時間: 2025-3-30 22:37
Concluding Remarks,ysics in its contemporary state there remains no place for either of them. At the same time it is certainly true that familiarity with their role in the formation of science is instrumental in the fuller appreciation of the concepts of modern physics.作者: animated 時間: 2025-3-31 01:28 作者: 細頸瓶 時間: 2025-3-31 05:01
Einleitung,tals b?rsennotierter Aktiengesellschaften. Nach Miller/Modigliani (1961) sind bei einem gegebenen Investitionsprogramm der Marktwert einer Unternehmung und die Renditeforderung der Anleger unabh?ngig von der Dividendenpolitik. Dieser als Irrelevanztheorem bezeichneten Aussage liegen allerdings Annah
