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標(biāo)題: Titlebook: Basic Number Theory; André Weil Book 19671st edition Springer-Verlag Berlin Heidelberg 1967 Cantor.Mathematica.field.number theory [打印本頁(yè)]

作者: Animosity    時(shí)間: 2025-3-21 19:26
書(shū)目名稱Basic Number Theory影響因子(影響力)




書(shū)目名稱Basic Number Theory影響因子(影響力)學(xué)科排名




書(shū)目名稱Basic Number Theory網(wǎng)絡(luò)公開(kāi)度




書(shū)目名稱Basic Number Theory網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱Basic Number Theory被引頻次




書(shū)目名稱Basic Number Theory被引頻次學(xué)科排名




書(shū)目名稱Basic Number Theory年度引用




書(shū)目名稱Basic Number Theory年度引用學(xué)科排名




書(shū)目名稱Basic Number Theory讀者反饋




書(shū)目名稱Basic Number Theory讀者反饋學(xué)科排名





作者: 壁畫(huà)    時(shí)間: 2025-3-21 22:04

作者: Decongestant    時(shí)間: 2025-3-22 03:41
The theorem of Riemann-Roch algebraic geometry; this lies outside the scope of this book. The results to be given here should be regarded chiefly as an illustration for the methods developed above and as an introduction to a more general theory.
作者: 反話    時(shí)間: 2025-3-22 05:28
Simple algebrasthe same properties. Tensor-products will be understood to be taken over the groundfield; thus we write .?. instead of .?. when . are algebras over ., and .?. or .., instead of .?., when . is an algebra over . and . a field containing .. being always considered as an algebra over ..
作者: Patrimony    時(shí)間: 2025-3-22 10:08

作者: 不可知論    時(shí)間: 2025-3-22 16:20

作者: 時(shí)代    時(shí)間: 2025-3-22 17:44

作者: 注意到    時(shí)間: 2025-3-23 00:20
Simple algebras over local fieldser words, if . is such a homomorphism, and . ∈ ., we write . for the image of . under .. We consider Hom(., .), in an obvious manner, as a vector-space over .; as such, it has a finite dimension, since it is a subspace of the space of .-linear mappings of . into .. As usual, we write End(.) for Hom(.).
作者: 脖子    時(shí)間: 2025-3-23 01:49

作者: 支柱    時(shí)間: 2025-3-23 05:43
https://doi.org/10.1007/978-1-4613-1507-0ts, and |π.|. = ... If . is of characteristic .>1, we will denote by . the number of elements of the field of constants of . and identify that field with .; then, according to the definitions in Chap. VI, we have .. = .. for every place ..
作者: 一個(gè)姐姐    時(shí)間: 2025-3-23 12:01

作者: eardrum    時(shí)間: 2025-3-23 17:00
https://doi.org/10.1007/978-3-642-80499-1for those of .. and of .., respectively, over ... We write .. for the restriction morphism of ?. into ?, and also, as explained in Chap.XII–1, for that of ?. into ?. We write .. for the group of characters of ?, or, what amounts to the same, of ?; for each . ∈ ., we write .. = .; this is a character of ?., or, what amounts to the same, of ?..
作者: Cholagogue    時(shí)間: 2025-3-23 21:39

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作者: GROWL    時(shí)間: 2025-3-24 06:41

作者: 細(xì)頸瓶    時(shí)間: 2025-3-24 11:51
Tamar Ben-Porat,Albert S. Kaplanmorphic to the prime field .. = ./., with which we may identify it. Then . may be regarded as a vector-space over ..; as such, it has an obviously finite dimension ., and the number of its elements is ... If . is a subfield of a field . with .. elements, . may also be regarded e.g. as a left vector-
作者: 獸皮    時(shí)間: 2025-3-24 15:07
Porcine Cytomegalovirus (PCMV),an obvious way to right vector-spaces. Only vector-spaces of finite dimension will occur; it is understood that these are always provided with their “natural topology” according to corollary 1 of th. 3, Chap. I-2. By th. 3 of Chap. I–2, every subspace of such a space . is closed in .. Taking coordin
作者: Gene408    時(shí)間: 2025-3-24 21:02
Herpesviral Diseases of the Horse,lgebraic number-fields by means of their embeddings into local fields. In the last century, however, it was discovered that the methods by which this can be done may be applied with very little change to certain fields of charac-teristic .>1; and the simultaneous study of these two types of fields t
作者: ANA    時(shí)間: 2025-3-25 01:18

作者: 廢除    時(shí)間: 2025-3-25 06:42
Herpesviruses, the Immune System, and AIDS the infinite ones, singled out by intrinsic properties. It would be possible to develop an analogous theory for .-fields of characteristic .>1 by arbitrarily setting apart a finite number of places; this was the point of view adopted by Dedekind and Weber in the early stages of the theory. Whicheve
作者: squander    時(shí)間: 2025-3-25 09:03
https://doi.org/10.1007/978-1-4613-1507-0 at .; if . is a finite place, .. is the maximal compact subring of .., and .. the maximal ideal in ... Moreover, in the latter case, we will agree once for all to denote by .. the module of the field .. and by .. a prime element of .., so that, by th. 6 of Chap. I–4, ../.. is a field with .. elemen
作者: incontinence    時(shí)間: 2025-3-25 15:39
Ysolina Centifanto-Fitzgerald Ph.D. finite degree . over .. If . is an .-field and . ≠ ., we must have . = ., . = ., . = 2; then, by corollary 3 of prop. 4, Chap. III–3, ..(.) = .+. and ..(.)= .; .. maps . onto ., and .. maps . onto ., which is a subgroup of . of index 2.
作者: 迫擊炮    時(shí)間: 2025-3-25 18:00

作者: Painstaking    時(shí)間: 2025-3-25 20:52
C. S. Foster,D. P. Dubey,S. Stux,E. Unisinite and > 0. If . and . are such spaces, we write Hom(., .) for the space of homomorphisms of . into ., and let it operate on the right on .; in other words, if . is such a homomorphism, and . ∈ ., we write . for the image of . under .. We consider Hom(., .), in an obvious manner, as a vector-spac
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作者: moribund    時(shí)間: 2025-3-26 08:00

作者: floodgate    時(shí)間: 2025-3-26 09:16

作者: relieve    時(shí)間: 2025-3-26 13:33
Springer-Verlag Berlin Heidelberg 1967
作者: 斷斷續(xù)續(xù)    時(shí)間: 2025-3-26 18:09

作者: Mirage    時(shí)間: 2025-3-26 22:44
0072-7830 Overview: 978-3-662-00046-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
作者: 無(wú)表情    時(shí)間: 2025-3-27 02:19

作者: Carminative    時(shí)間: 2025-3-27 08:27
Takeshi Sairenji,Takeshi Kuratae .. for the maximal compact subring of .. and .. for the maximal ideal of .., these being the subsets of .. respectively defined by |.|.?1 and by |.|. < 1. We write . for the set of the infinite places of ., and . for any finite set of places of ., containing ..
作者: Memorial    時(shí)間: 2025-3-27 12:13
Ysolina Centifanto-Fitzgerald Ph.D. finite degree . over .. If . is an .-field and . ≠ ., we must have . = ., . = ., . = 2; then, by corollary 3 of prop. 4, Chap. III–3, ..(.) = .+. and ..(.)= .; .. maps . onto ., and .. maps . onto ., which is a subgroup of . of index 2.
作者: Trypsin    時(shí)間: 2025-3-27 17:12

作者: motivate    時(shí)間: 2025-3-27 18:21
Adelese .. for the maximal compact subring of .. and .. for the maximal ideal of .., these being the subsets of .. respectively defined by |.|.?1 and by |.|. < 1. We write . for the set of the infinite places of ., and . for any finite set of places of ., containing ..
作者: 使困惑    時(shí)間: 2025-3-28 00:59
Traces and norms finite degree . over .. If . is an .-field and . ≠ ., we must have . = ., . = ., . = 2; then, by corollary 3 of prop. 4, Chap. III–3, ..(.) = .+. and ..(.)= .; .. maps . onto ., and .. maps . onto ., which is a subgroup of . of index 2.
作者: Spirometry    時(shí)間: 2025-3-28 02:32
Sonja J. Olsen,Patrick S. MooreLet E be a vector-space of finite dimension over .. By a .-lattice in E, we understand a finitely generated subgroup of E which contains a basis of E over ..
作者: Gentry    時(shí)間: 2025-3-28 07:13

作者: 拋物線    時(shí)間: 2025-3-28 12:20

作者: 大罵    時(shí)間: 2025-3-28 17:58
Local classfield theoryThe purpose of classfield theory is to give a description of the abelian extensions of the types of fields studied in this book, viz., local fields and .-fields. Here we assemble part of the formal machinery common to both types.
作者: LEERY    時(shí)間: 2025-3-28 20:42

作者: TIA742    時(shí)間: 2025-3-29 01:06
Locally compact fieldsmorphic to the prime field .. = ./., with which we may identify it. Then . may be regarded as a vector-space over ..; as such, it has an obviously finite dimension ., and the number of its elements is ... If . is a subfield of a field . with .. elements, . may also be regarded e.g. as a left vector-
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