Noetherian \({\mathbb{Z}}_ p[[T]]\)-modules, adjoints, and Iwasawa theory

zbMath0596.12006MaRDI QIDQ1078241

Leslie Jane Federer

Publication date: 1986

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Iwasawa theorymaximal abelian p-extensioncanonical \(\Lambda \) -module isomorphismGalois group of extensionNoetherian torsion \(\Lambda \) -modulesp- partplace of number fieldpseudoisomorphicR-generalized S-class groups

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Torsion modules and ideals in commutative rings (13C12)

Related Items (5)

\(T\)-ranks of Iwasawa modules ⋮ Iwasawa invariants of CM fields ⋮ Local behavior of Iwasawa’s invariants ⋮ Isomorphism classes and adjoints of certain Iwasawa modules ⋮ Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules

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