[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2021.29.2.267

ON THE REDUCTION OF AN IWASAWA MODULE

Oh, Jangheon (Faculty of Mathematics and Statistics, Sejong University)

Publication Information

Korean Journal of Mathematics / v.29, no.2, 2021 , pp. 267-269 More about this Journal

Abstract

A finitely generated torsion module M for ℤ_p[[T, T₂, ⋯ , T_d]] is pseudo-null if M/TM is pseudo-null over ℤ_p[[T₂, ⋯ , T_d]]. This result is used as a tool to prove the generalized Greenberg's conjecture in certain cases. The converse may not be true. In this paper, we give examples of pseudo-null Iwasawa modules whose reduction are not pseudo-null.

Keywords

Iwasawa invariants; generalized Greenberg conjecture; bi-quadratic fields;

Citations & Related Records

Reference

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