On the Isomorphism Classes of Iwasawa Modules Associated to Imaginary Quadratic Fields with λ λ = 2

On the Isomorphism Classes of Iwasawa Modules Associated to Imaginary Quadratic Fields with λ λ = 2
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与 λ λ = 2 的虚二次场相关的岩泽模的同构类

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发表时间:
1999
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通讯作者:
Masanobu Koike
Masanobu Koike
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作者:
Masanobu Koike

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设p是奇素数。设Λ=ZP((T))。确定了不含非平凡有限Λ子模的有限生成Λ挠Λ模的λ同构类,其中Λ=2且µ=0。我们将这种分类应用到与虚二次域的分圆ZP-扩张相关的岩泽模X=Lim−An上,并给出了一些数值例子。
Let p be an odd prime number. Let Λ = Zp((T )). We determine the Λ-isomorphism classes of finitely generated Λ-torsion Λ- modules with λ = 2and µ = 0 which have no non-trivial finite Λ- submodule. We apply this classification to Iwasawa modules X = lim − An associated to the cyclotomic Zp-extensions of imaginary qua- dratic fields and give some numerical examples.
DOI: --
发表时间: 2010
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作者:
玉井智之・別役透・中村哲之・藤田和生;Satoshi Fujii;Satoshi Fujii;Satoshi Fujii (藤井俊);Satoshi Fujii (藤井俊);藤井俊;藤井俊;藤井俊;藤井俊;藤井俊;藤井俊;藤井俊;藤井俊
通讯作者: 藤井俊