Algebraic Number TheorySpringer Science & Business Media, 6 dic 2012 - 269 pagine From the reviews: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Number theory is not easy and quite technical at several places, as the author is able to show in his technically good exposition. The amount of difficult material well exposed gives a survey of quite a lot of good solid classical number theory... Conclusion: for people not already familiar with this field this book is not so easy to read, but for the specialist in number theory this is a useful description of (classical) algebraic number theory." Medelingen van het wiskundig genootschap, 1995 |
Dall'interno del libro
Risultati 1-5 di 34
Pagina 90
... closed set [ 14 ] ( Neu - bCS in short ) if Neu - cl ( Neu - int ( P ) ) nNeu - int ( Neu - cl ( P ) ) SP , 2. Neutrosophic a - closed set [ 2 ] ( Neu- aCS in short ) if Neu - cl ( Neu - int ( Neu - cl ( P ) ) ) SP , 3. Neutrosophic pre ...
... closed set [ 14 ] ( Neu - bCS in short ) if Neu - cl ( Neu - int ( P ) ) nNeu - int ( Neu - cl ( P ) ) SP , 2. Neutrosophic a - closed set [ 2 ] ( Neu- aCS in short ) if Neu - cl ( Neu - int ( Neu - cl ( P ) ) ) SP , 3. Neutrosophic pre ...
Pagina
... closed conduits - Meters for cold potable wa- ter Part 1 : Specifications , ISO 4064-2 : 1978 Measurement of water flow in closed conduits - Meters for cold potable water- Part 2 : Installation requirements and its Addendum 1 : 1983 Par ...
... closed conduits - Meters for cold potable wa- ter Part 1 : Specifications , ISO 4064-2 : 1978 Measurement of water flow in closed conduits - Meters for cold potable water- Part 2 : Installation requirements and its Addendum 1 : 1983 Par ...
Pagina
... .109 File 8 : George's Misfortune ..... ..127 File 9 : George's Trap .... ... 145 File 10 : There ........ .... 161 File 11 : Encircled by Proof ..... .179 CASE CO CLOSED CONFIDEN CASE CLOSED Volume 30 VIZ Media Edition · GOSHO AOYAMA.
... .109 File 8 : George's Misfortune ..... ..127 File 9 : George's Trap .... ... 145 File 10 : There ........ .... 161 File 11 : Encircled by Proof ..... .179 CASE CO CLOSED CONFIDEN CASE CLOSED Volume 30 VIZ Media Edition · GOSHO AOYAMA.
Pagina 4
... CLOSED is rated T + for Older Teen and FOR OLDER TEEN is recommended for ages 16 and up . This vol- ume contains realistic and graphic violence . ratings.viz.com Viz media www.viz.com Printed in the U.S.A. Published by VIZ Media , LLC ...
... CLOSED is rated T + for Older Teen and FOR OLDER TEEN is recommended for ages 16 and up . This vol- ume contains realistic and graphic violence . ratings.viz.com Viz media www.viz.com Printed in the U.S.A. Published by VIZ Media , LLC ...
Pagina 267
... closed set and B Ç A Ç Ncl(B), then A is a generalized neutrosophic closed set. Proof. Let G be a neutrosophic open set in (X, T), such that A Ç G. Since B Ç A, B Ç G. Now, B is a generalized neutrosophic closed set and Ncl(B) Ç G. But ...
... closed set and B Ç A Ç Ncl(B), then A is a generalized neutrosophic closed set. Proof. Let G be a neutrosophic open set in (X, T), such that A Ç G. Since B Ç A, B Ç G. Now, B is a generalized neutrosophic closed set and Ncl(B) Ç G. But ...
Sommario
7 | |
22 | |
3 Dedekind Rings | 28 |
60 | 42 |
69 | 49 |
76 | 56 |
Harmonic Analysis on Local and Global Fields | 63 |
6 Hecke LSeries and the Distribution of Prime Ideals | 70 |
7 Further Results of Class Field Theory | 145 |
Cohomology of Profinite Groups | 151 |
2 Galois Cohomology of Local and Global Fields | 168 |
Abelian Fields | 192 |
3 Iwasawas Theory of IExtensions | 206 |
Artin LFunctions and Galois Module Structure | 219 |
2 Galois Module Structure and Artin Root Numbers | 234 |
Fields Domains and Complexes | 237 |
Class Field Theory | 90 |
2 Complex Multiplication | 107 |
Simple Algebras | 131 |
6 Explicit Reciprocity Laws and Symbols | 137 |
Tables | 245 |
References | 251 |
Author Index 263 | 262 |
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Parole e frasi comuni
a₁ abelian extension abelian field abelian group algebraic number field arbitrary Artin automorphism called Chap class field theory closed subgroup cohomology complex conductor conjecture corresponding cyclic Dedekind ring defined denotes Dirichlet discriminant divisor theory exact sequence Example extension L/K extension of Q finite extension finite group finite normal extension following theorem function G-module G₁ Galois group global fields group G H¹(G H²(G Hasse Hecke character Hence Hilbert homomorphism ideal class group idele imaginary-quadratic implies induces infinite places integers irreducible isomorphism L-functions Lemma Let G Let L/K Main reference module morphism natural number norm symbol normal extension normal subgroup number theory polynomial prime divisors prime element prime ideal prime numbers principal ideal pro-p-group profinite group Proposition quadratic r₂ ramified reciprocity law representation resp roots of unity Shafarevich simple algebra subgroup of G trivial U₁ unramified valuation Z/pZ