The global dimension of the group rings of abelian groups
Stanisław Balcerzyk (1964)
Fundamenta Mathematicae
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Displaying similar documents to “Dimension, category and spaces”
The global dimension of the group rings of abelian groups
The global dimension of the group rings of abelian groups III
Stanisław Balcerzyk (1970)
Fundamenta Mathematicae
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The global dimension of the group rings of abelian groups II
Stanisław Balcerzyk (1966)
Fundamenta Mathematicae
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The homological dimension of a torsion-free abelian group of finite rank as a module over its ring of endomorphisms
H. W. K. Angad-Gaur (1977)
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...
Maps of cotriples and a change of rings theorem
Charles Herladns (1984)
Fundamenta Mathematicae
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A connection between multiplication in C(X) and the dimension of X
Andrzej Komisarski (2006)
Fundamenta Mathematicae
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Let X be a compact Hausdorff topological space. We show that multiplication in the algebra C(X) is open iff dim X < 1. On the other hand, the existence of non-empty open sets U,V ⊂ C(X) satisfying Int(U· V) = ∅ is equivalent to dim X > 1. The preimage of every set of the first category in C(X) under the multiplication map is of the first category in C(X) × C(X) iff dim X ≤ 1.
The -theory of profinite abelian groups
Peter Schmitt (1983)
Fundamenta Mathematicae
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Characterization of the automorphisms having the lifting property in the category of Abelian -groups.
Abdelalim, S., Essannouni, H. (2003)
International Journal of Mathematics and Mathematical Sciences
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On the Freyd categories of an additive category.
Beligiannis, Apostolos (2000)
Homology, Homotopy and Applications
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