On the class semigroup of the cyclotomic \(\mathbb Z_p\)-extension of the rational numbers

DOI10.1216/JCA-2019-11-1-69zbMath1426.11126OpenAlexW2922098255MaRDI QIDQ670637

Yutaka Konomi, Takayuki Morisawa

Publication date: 18 March 2019

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1552464133

zbMATH Keywords

class groupclass semigroupcyclotomic extension

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (1)

On infinite extensions of Dedekind domains, upper semicontinuous functions and the ideal class semigroups

Cites Work

• Groups in the class semigroups of valuation domains
• Class semigroups of Prüfer domains
• The class semigroup of orders in number fields
• Groups in the class semigroup of a prüfer domain of finite character
• Clifford regular domains

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