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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L. Federer, Noetherian ℤ p [[T]]-modules, adjoints, and Iwasawa theory.Illinois J. Math. 30 (1986), 636–652.
K. Iwasawa, On ℤ ℤl-extensions of algebraic number fields.Ann. of Math. 98 (1973), 246–326.
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.
H. Sumida, Greenberg’s conjecture and the Iwasawa polynomial.J. Math. Soc. Japan 49 (1997), 689–711.
L. Washington,Introduction to Cyclotomic Fields. 2nd ed. Springer, 1997.
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 (2000). https://doi.org/10.1007/BF02940907
Key words and phrases
- Iwasawa module