Valued vector spaces and abelian $p$-groups

Laszlo Fuchs

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The generalized criterion of Dieudonné for primary valuated groups

Peter Vassilev Danchev (2007)

Acta Mathematica Universitatis Ostraviensis

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Free products in varieties of lattice-ordered groups

Jorge Martinez (1972)

Czechoslovak Mathematical Journal

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Realization theorems for valuated $p^{n}$ -socles

Patrick W. Keef (2011)

Rendiconti del Seminario Matematico della Università di Padova

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Countable extensions of torsion Abelian groups

Peter Vassilev Danchev (2005)

Archivum Mathematicum

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Suppose $A$ is an abelian torsion group with a subgroup $G$ such that $A / G$ is countable that is, in other words, $A$ is a torsion countable abelian extension of $G$ . A problem of some group-theoretic interest is that of whether $G \in 𝕂$ , a class of abelian groups, does imply that $A \in 𝕂$ . The aim of the present paper is to settle the question for certain kinds of groups, thus extending a classical result due to Wallace (J. Algebra, 1981) proved when $𝕂$ coincides with the class of all totally projective $p$ -groups. ...

Displaying similar documents to “Valued vector spaces and abelian p -groups”

The generalized criterion of Dieudonné for primary valuated groups

Free products in varieties of lattice-ordered groups

Realization theorems for valuated p n -socles

Countable extensions of torsion Abelian groups

Displaying similar documents to “Valued vector spaces and abelian $p$ -groups”

Realization theorems for valuated $p^{n}$ -socles