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Displaying 61 – 80 of 86

Rational Functions Invariant under a Finite Abelian Group.

H.W. Jr. Lenstra (1974)

Inventiones mathematicae

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

Patrick W. Keef (2011)

Rendiconti del Seminario Matematico della Università di Padova

Regular submodules of torsion modules over a discrete valuation domain

Pudji Astuti, Harald K. Wimmer (2006)

Czechoslovak Mathematical Journal

A submodule $W$ of a $p$ -primary module $M$ of bounded order is known to be regular if $W$ and $M$ have simultaneous bases. In this paper we derive necessary and sufficient conditions for regularity of a submodule.

Smooth invariants and $ω$ -graded modules over $k [X]$

Fred Richman (2000)

Commentationes Mathematicae Universitatis Carolinae

It is shown that every $ω$ -graded module over $k [X]$ is a direct sum of cyclics. The invariants for such modules are exactly the smooth invariants of valuated abelian $p$ -groups.

Some generalizations of torsion-free Crawley groups

Brendan Goldsmith, Fatemeh Karimi, Ahad Mehdizadeh Aghdam (2013)

Czechoslovak Mathematical Journal

In this paper we investigate two new classes of torsion-free Abelian groups which arise in a natural way from the notion of a torsion-free Crawley group. A group $G$ is said to be an Erdős group if for any pair of isomorphic pure subgroups $H, K$ with $G / H ≅ G / K$ , there is an automorphism of $G$ mapping $H$ onto $K$ ; it is said to be a weak Crawley group if for any pair $H, K$ of isomorphic dense maximal pure subgroups, there is an automorphism mapping $H$ onto $K$ . We show that these classes are extensive and pay attention to...

Splitting in abelian groups

Ladislav Bican (1978)

Czechoslovak Mathematical Journal

Subgroups of the basic subgroup in a modular group ring

Peter Vassilev Danchev (2005)

Mathematica Slovaca

The Balance of Tor.

Paul Hill (1983)

Mathematische Zeitschrift

The $\oplus_{c}$ -topology is not completable

Adolf Mader (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The $\oplus_{c}$ -topology on abelian $p$ -groups

G. D'Este (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The generalized criterion of Dieudonné for primary valuated groups

Peter Vassilev Danchev (2007)

Acta Mathematica Universitatis Ostraviensis

The generalized criterion of Dieudonné for valuated $p$ -groups

Peter Vassilev Danchev (2006)

Acta Mathematica Universitatis Ostraviensis

We prove that if $G$ is an abelian $p$ -group with a nice subgroup $A$ so that $G / A$ is a $Σ$ -group, then $G$ is a $Σ$ -group if and only if $A$ is a $Σ$ -subgroup in $G$ provided that $A$ is equipped with a valuation induced by the restricted height function on $G$ . In particular, if in addition $A$ is pure in $G$ , $G$ is a $Σ$ -group precisely when $A$ is a $Σ$ -group. This extends the classical Dieudonné criterion (Portugal. Math., 1952) as well as it supplies our recent results in (Arch. Math. Brno, 2005), (Bull. Math. Soc. Sc. Math....

Currently displaying 61 – 80 of 86

Previous Page 4 Next

Displaying 61 – 80 of 86

Rational Functions Invariant under a Finite Abelian Group.

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

Regular submodules of torsion modules over a discrete valuation domain

Smooth invariants and $ω$ -graded modules over $k [X]$

Some generalizations of torsion-free Crawley groups

Splitting in abelian groups

Subgroups of the basic subgroup in a modular group ring

The Balance of Tor.

The $\oplus_{c}$ -topology is not completable

The $\oplus_{c}$ -topology on abelian $p$ -groups

The generalized criterion of Dieudonné for primary valuated groups

The generalized criterion of Dieudonné for valuated $p$ -groups

The group of homomorphisms of Abelian torsion groups.

The $λ$ -inductive topology on abelian $p$ -groups

Torsion groups in cortorsion classes

Treillis d'idéaux et structure d'anneaux

Two notes on radicals of Abelian groups

Valued vector spaces and abelian $p$ -groups

Классы периодических абелевых групп, замкнутые относительно взятия эпиморфных образов и прямых пределов

Критерий связной топологизуемости периодических абелевых групп конечного периода

Currently displaying 61 – 80 of 86