Cyclic Galois extensions of commutative rings

The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to vi...

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Detalles Bibliográficos
Autor principal: Greither, Cornelius
Lenguaje:eng
Publicado: Springer 1992
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/BFb0089165
http://cds.cern.ch/record/1691533
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author Greither, Cornelius
author_facet Greither, Cornelius
author_sort Greither, Cornelius
collection CERN
description The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.
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publishDate 1992
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spelling cern-16915332021-04-21T21:09:09Zdoi:10.1007/BFb0089165http://cds.cern.ch/record/1691533engGreither, CorneliusCyclic Galois extensions of commutative ringsMathematical Physics and MathematicsThe structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.Springeroai:cds.cern.ch:16915331992
spellingShingle Mathematical Physics and Mathematics
Greither, Cornelius
Cyclic Galois extensions of commutative rings
title Cyclic Galois extensions of commutative rings
title_full Cyclic Galois extensions of commutative rings
title_fullStr Cyclic Galois extensions of commutative rings
title_full_unstemmed Cyclic Galois extensions of commutative rings
title_short Cyclic Galois extensions of commutative rings
title_sort cyclic galois extensions of commutative rings
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0089165
http://cds.cern.ch/record/1691533
work_keys_str_mv AT greithercornelius cyclicgaloisextensionsofcommutativerings

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