Realization theorems for valuated $p^n$ -socles

Patrick W. Keef

Displaying similar documents to “Realization theorems for valuated $p^{n}$ -socles”

The generalized criterion of Dieudonné for primary valuated groups

Peter Vassilev Danchev (2007)

Acta Mathematica Universitatis Ostraviensis

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Generalized Dieudonné criterion.

Danchev, P. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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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. ...

A note on a theorem of Megibben

Peter Vassilev Danchev, Patrick Keef (2008)

Archivum Mathematicum

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We prove that pure subgroups of thick Abelian $p$ -groups which are modulo countable are again thick. This generalizes a result due to Megibben (Michigan Math. J. 1966). Some related results are also established.

Displaying similar documents to “Realization theorems for valuated p n -socles”

The generalized criterion of Dieudonné for primary valuated groups

Generalized Dieudonné criterion.

Countable extensions of torsion Abelian groups

A note on a theorem of Megibben

Displaying similar documents to “Realization theorems for valuated $p^{n}$ -socles”