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Isomorphism classes and adjoints of certain iwasawa modules

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Abstract

Letp be an odd prime number andO the integer ring of a finite extension of ℚ p . We determine isomorphism classes of certainO[[T]]-modules which are isomorphic toO ⊕3 asO-modules. Moreover we give some examples which are not isomorphic to their adjoints.

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References

  1. L. Federer, Noetherian ℤ p [[T]]-modules, adjoints, and Iwasawa theory.Illinois J. Math. 30 (1986), 636–652.

    MATH  MathSciNet  Google Scholar 

  2. K. Iwasawa, On ℤ ℤl-extensions of algebraic number fields.Ann. of Math. 98 (1973), 246–326.

    Article  MathSciNet  Google Scholar 

  3. M. Koike, On the isomorphism classes of Iwasawa modules associated to imaginary quadratic fields with λ = 2.J. Math. Sci. Univ. Tokyo 6 (1999), 371–396.

    MATH  MathSciNet  Google Scholar 

  4. H. Sumida, Greenberg’s conjecture and the Iwasawa polynomial.J. Math. Soc. Japan 49 (1997), 689–711.

    Article  MATH  MathSciNet  Google Scholar 

  5. L. Washington,Introduction to Cyclotomic Fields. 2nd ed. Springer, 1997.

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Authors and Affiliations

  1. Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama, 739-8521, Higashi-Hiroshima, Japan

    Hiroki Sumida

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  1. Hiroki Sumida
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Correspondence to Hiroki Sumida.

Additional information

Partly supported by the Grants-in-Aid for Encouragement of Young Scientists (No. 11740020), The Ministry of Education, Science, Sports and Culture of Japan.

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Sumida, H. Isomorphism classes and adjoints of certain iwasawa modules. Abh.Math.Semin.Univ.Hambg. 70, 113–117 (2000). https://doi.org/10.1007/BF02940907

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  • DOI: https://doi.org/10.1007/BF02940907

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