Displaying similar documents to “Solvability of 𝔭-adic diagonal equations”

Different groups of circular units of a compositum of real quadratic fields

Radan Kučera (1994)

Acta Arithmetica

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There are many different definitions of the group of circular units of a real abelian field. The aim of this paper is to study their relations in the special case of a compositum k of real quadratic fields such that -1 is not a square in the genus field K of k in the narrow sense. The reason why fields of this type are considered is as follows. In such a field it is possible to define a group C of units (slightly bigger than Sinnott's group of circular units) such...

Quasivarieties of pseudocomplemented semilattices

M. Adams, Wiesław Dziobiak, Matthew Gould, Jürg Schmid (1995)

Fundamenta Mathematicae

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Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are 2 ω quasivarieties.