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標(biāo)題: Titlebook: Basic Number Theory; André Weil Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 algebraic number field.algebraic number the [打印本頁]

作者: 脾氣好    時間: 2025-3-21 16:46
書目名稱Basic Number Theory影響因子(影響力)




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書目名稱Basic Number Theory被引頻次




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書目名稱Basic Number Theory讀者反饋




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作者: 吞噬    時間: 2025-3-21 20:24
https://doi.org/10.1007/978-3-642-77247-4n .. If . is also a finite set of places of ., and .? ., then .(.) is contained in .(.); moreover, its topology and its ring structure are those induced by those of .(.) and k.(.) is an open subset of k.(.).
作者: 發(fā)展    時間: 2025-3-22 02:25
Herpes Zoster and Vascular Risk algebra .(.) is uniquely determined up to an isomorphism, and .(.) and .(.) are uniquely determined. One says that . is . or . at . according as . is trivial over . or not, i. e. according as .(.)=1 or .(.) > 1.
作者: 榨取    時間: 2025-3-22 06:06
Adelesn .. If . is also a finite set of places of ., and .? ., then .(.) is contained in .(.); moreover, its topology and its ring structure are those induced by those of .(.) and k.(.) is an open subset of k.(.).
作者: 偉大    時間: 2025-3-22 12:33

作者: FLEET    時間: 2025-3-22 16:06

作者: 全神貫注于    時間: 2025-3-22 18:38
Classification and Nomenclature, 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: 天空    時間: 2025-3-22 22:47

作者: 經(jīng)典    時間: 2025-3-23 04:03
https://doi.org/10.1007/978-3-642-61945-8algebraic number field; algebraic number theory; number theory
作者: exquisite    時間: 2025-3-23 08:18
978-3-540-58655-5Springer-Verlag Berlin Heidelberg 1995
作者: 撫慰    時間: 2025-3-23 10:40
Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/b/image/181083.jpg
作者: meditation    時間: 2025-3-23 15:14
Herpes Simplex Virus Epithelial KeratitisWe shall need some elementary results about vector-spaces over ., involving the following concept:
作者: Longitude    時間: 2025-3-23 18:39
Neurological Complications of Herpes ZosterThe 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: 庇護    時間: 2025-3-24 02:05
Algebraic number-fieldsWe shall need some elementary results about vector-spaces over ., involving the following concept:
作者: Epidural-Space    時間: 2025-3-24 06:23
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: cauda-equina    時間: 2025-3-24 07:29
Anita F. Meier,Andrea S. Laimbachermorphic 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 vecto
作者: 煩憂    時間: 2025-3-24 13:18

作者: 種植,培養(yǎng)    時間: 2025-3-24 18:16

作者: dragon    時間: 2025-3-24 22:34

作者: Excise    時間: 2025-3-25 01:43
S. Moira Brown,Alasdair R. MacLean. 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 . elements, and |.
作者: harrow    時間: 2025-3-25 03:50
Classification and Nomenclature, 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: Outshine    時間: 2025-3-25 11:27

作者: 侵略主義    時間: 2025-3-25 14:19

作者: uveitis    時間: 2025-3-25 17:06
Herpes Zoster and Vascular Riskcipally concerned with a simple algebra . over .; as stipulated in Chapter IX, it is always understood that . is central, i. e. that its center is ., and that it has a finite dimension over .; by corollary 3 of prop. 3, Chap. IX-1, this dimension can then be written as ., where . is an integer ≥ 1.
作者: 摸索    時間: 2025-3-25 22:33
https://doi.org/10.1007/978-3-319-44348-5and, for each place . of ., an algebraic closure . of ., containing .. We write ., . for the maximal separable extensions of . in ., and of . in ., respectively. We write ., . for the maximal abelian extensions of . in ., and of . in ., respectively. One could easily deduce from lemma 1, Chap. XI-3,
作者: 不理會    時間: 2025-3-26 03:12

作者: 不幸的人    時間: 2025-3-26 05:43

作者: optic-nerve    時間: 2025-3-26 12:16
Places of A-fieldslgebraic 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 characteristic . > 1; and the simultaneous study of these two types of fields
作者: peptic-ulcer    時間: 2025-3-26 14:41

作者: 勉勵    時間: 2025-3-26 19:21

作者: invert    時間: 2025-3-26 23:32

作者: 誰在削木頭    時間: 2025-3-27 03:43
Simple algebrasnd carrying no additional structure. All fields are understood to be commutative. All algebras are understood to have a unit, to be of finite dimension over their ground-field, and to be central over that field (an algebra . over . is called central if . is its center). If ., . are algebras over . w
作者: Vertebra    時間: 2025-3-27 06:10
Simple algebras over local fieldsinite 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
作者: chisel    時間: 2025-3-27 11:26
Simple algebras over A-fieldscipally concerned with a simple algebra . over .; as stipulated in Chapter IX, it is always understood that . is central, i. e. that its center is ., and that it has a finite dimension over .; by corollary 3 of prop. 3, Chap. IX-1, this dimension can then be written as ., where . is an integer ≥ 1.
作者: blister    時間: 2025-3-27 14:55

作者: Hyperlipidemia    時間: 2025-3-27 17:54
https://doi.org/10.1007/978-3-642-77247-4ates, one sees that all linear mappings of such spaces into one another are continuous; in particular, linear forms are continuous. Similarly, every injective linear mapping of such a space . into another is an isomorphism of . onto its image. As . is not compact, no subspace of . can be compact, except {0}.
作者: 宿醉    時間: 2025-3-27 22:15

作者: 即席演說    時間: 2025-3-28 02:39
0072-7830 y in 1961-62; at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript b
作者: 耕種    時間: 2025-3-28 08:05
Anita F. Meier,Andrea S. Laimbacherdimension ., 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-space over .; if its dimension as such is ., we have . = . and . = . = ..
作者: 遺留之物    時間: 2025-3-28 12:07

作者: comely    時間: 2025-3-28 17:44
Kenneth E. Schmader,Robert H. Dworkiner 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: Dorsal-Kyphosis    時間: 2025-3-28 20:07

作者: 搬運工    時間: 2025-3-29 00:47
Places of A-fieldscan be done may be applied with very little change to certain fields of characteristic . > 1; and the simultaneous study of these two types of fields throws much additional light on both of them. With this in mind, we introduce as follows the fields which will be considered from now on:
作者: 反復(fù)無常    時間: 2025-3-29 05:16
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: 逃避責(zé)任    時間: 2025-3-29 09:58
Book 1995Latest edition62; at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by Chevalle
作者: 結(jié)合    時間: 2025-3-29 15:14

作者: Ingratiate    時間: 2025-3-29 17:49

作者: 金絲雀    時間: 2025-3-29 20:33

作者: penance    時間: 2025-3-30 02:53
Global classfield theory . for the restriction morphism of ., and also, as explained in Chap. XII–1, for that of .. We write . for the group of characters of ., or, what amounts to the same, of . this is a character of . or, what amounts to the same, of ..
作者: 草本植物    時間: 2025-3-30 04:46
Book 1995Latest editionefulness of the intended volume would be greatly enhanced if I included such a treatment of this topic. It had to be expanded, in accordance with my own plans, but its outline could be preserved without much change. In fact, I have adhered to it rather closely at some critical points.




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