On the rings on torsion-free groups

F. Karimi; H. Mohtadifar

Displaying similar documents to “On the rings on torsion-free groups”

On the subgroups of completely decomposable torsion-free groups that are ideals in every ring

A. M. Aghdam, F. Karimi, A. Najafizadeh (2012)

Archivum Mathematicum

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In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.

Strong $𝒮$ -groups

Ulrich Albrecht, H. Goeters (1999)

Colloquium Mathematicae

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Classification of self-dual torsion-free LCA groups

S. Wu (1992)

Fundamenta Mathematicae

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In this paper we seek to describe the structure of self-dual torsion-free LCA groups. We first present a proof of the structure theorem of self-dual torsion-free metric LCA groups. Then we generalize the structure theorem to a larger class of self-dual torsion-free LCA groups. We also give a characterization of torsion-free divisible LCA groups. Consequently, a complete classification of self-dual divisible LCA groups is obtained; and any self-dual torsion-free LCA group can be regarded...

The structure of abelian groups supporting a number system (extended abstract)

Christiaan van de Woestijne (2009)

Actes des rencontres du CIRM

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Torsion groups in cortorsion classes

Lutz Strüngmann (2002)

Rendiconti del Seminario Matematico della Università di Padova

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Syzygietic properties of a module and torsion freeness of its symmetric powers.

Bonanzinga, Vittoria, Restuccia, Gaetana (2002)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero

Benjamin Collas (2012)

Journal de Théorie des Nombres de Bordeaux

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In this paper we establish the action of the Grothendieck-Teichmüller group $\hat{G T}$ on the prime order torsion elements of the profinite fundamental group $π_{1}^{g e o m} (ℳ_{0, [n]})$ . As an intermediate result, we prove that the conjugacy classes of prime order torsion of ${\hat{π}}_{1} (ℳ_{0, [n]})$ are exactly the prime order ones of the $π_{1} (ℳ_{0, [n]})$ .

A class–field theoretical calculation

Cristian D. Popescu (2006)

Journal de Théorie des Nombres de Bordeaux

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In this paper, we give the complete characterization of the $p$ –torsion subgroups of certain idèle–class groups associated to characteristic $p$ function fields. As an application, we answer a question which arose in the context of Tan’s approach [] to an important particular case of a generalization of a conjecture of Gross [] on special values of $L$ –functions.