Isomorphism of modular group algebras of direct sums of torsion-complete abelian -groups
Peter V. Danchev (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Commutative group algebras of highly torsion-complete abelian -groups”
Isomorphism of modular group algebras of direct sums of torsion-complete abelian -groups
Splitting in locally compact abelian groups
Peter Loth (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Splitting of the identity component in locally compact abelian groups
Peter Loth (1992)
Rendiconti del Seminario Matematico della Università di Padova
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On inert subgroups of a group
Derek J. S. Robinson (2006)
Rendiconti del Seminario Matematico della Università di Padova
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On localizations of torsion abelian groups
José L. Rodríguez, Jérôme Scherer, Lutz Strüngmann (2004)
Fundamenta Mathematicae
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As is well known, torsion abelian groups are not preserved by localization functors. However, Libman proved that the cardinality of LT is bounded by whenever T is torsion abelian and L is a localization functor. In this paper we study localizations of torsion abelian groups and investigate new examples. In particular we prove that the structure of LT is determined by the structure of the localization of the primary components of T in many cases. Furthermore, we completely characterize...
Isomorphism of Commutative Modular Group Algebras
Danchev, P. (1997)
Serdica Mathematical Journal
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∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91. Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then...
Pure extensions of locally compact abelian groups
Peter Loth (2006)
Rendiconti del Seminario Matematico della Università di Padova
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The isomorphic description of torsion units in commutative group rings over fields with positive characteristic.
Danchev, Peter (2004)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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