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.

Generalized Dieudonné and Honda criteria for primary Abelian groups.

Danchev, P.V. (2008)

Acta Mathematica Universitatis Comenianae. New Series

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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

Generalized Dieudonné and Honda criteria for primary Abelian groups.

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