...1-Separable Groups and Kaplansky's Test Problems.
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Bernhard Thomé (1990)
Forum mathematicum
L. Bican, L. Salce, J. Štěpán (1985)
Rendiconti del Seminario Matematico della Università di Padova
Saharon Shelah, Lutz Strüngmann (2007)
Fundamenta Mathematicae
We complete the characterization of Ext(G,ℤ) for any torsion-free abelian group G assuming Gödel’s axiom of constructibility plus there is no weakly compact cardinal. In particular, we prove in (V = L) that, for a singular cardinal ν of uncountable cofinality which is less than the first weakly compact cardinal and for every sequence of cardinals satisfying (where Π is the set of all primes), there is a torsion-free abelian group G of size ν such that equals the p-rank of Ext(G,ℤ) for every...
Ladislav Procházka (1972)
Commentationes Mathematicae Universitatis Carolinae
L. Fuchs (1989)
Manuscripta mathematica
L. Fuchs, G. Viljoen (1985)
Rendiconti del Seminario Matematico della Università di Padova
Ulrich F. Albrecht, T. Faticoni, H. Pat Goeters (1994)
Czechoslovak Mathematical Journal
Ladislav Procházka (1980)
Commentationes Mathematicae Universitatis Carolinae
Kulumani M. Rangaswamy (1994)
Commentationes Mathematicae Universitatis Carolinae
It is shown, under ZFC, that a -group has the interesting property of being -prebalanced in every torsion-free abelian group in which it is a pure subgroup. As a consequence, we obtain alternate proofs of some well-known theorems on -groups.
Ladislav Bican (1982)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Un gruppo abeliano senza torsione ed indecomponibile è detto iperindecomponibile se tutti i sottogruppi propri del suo inviluppo iniettivo che lo contengono sono indecomponibili. In questo lavoro si caratterizza la classe dei gruppi iperindecomponibili per mezzo di loro proprietà locali. I gruppi iperindecomponibili omogenei sono caratterizzati tramite la proprietà «factor-splitting».
Ladislav Bican, K. M. Rangaswamy (1995)
Rendiconti del Seminario Matematico della Università di Padova
Martin Huber (1985)
Rendiconti del Seminario Matematico della Università di Padova
Martin Huber, Paul C. Eklof (1979)
Commentarii mathematici Helvetici
G. D'Este (1978)
Rendiconti del Seminario Matematico della Università di Padova
Manfred Dugas, Shalom Feigelstock (2004)
Rendiconti del Seminario Matematico della Università di Padova
Anthony W. Hager, James J. Madden (1984)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Rüdiger Göbel, R. Shortt (1994)
Fundamenta Mathematicae
Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
Otto Gerstner (1973/1974)
Manuscripta mathematica
Ladislav Bican (2000)
Czechoslovak Mathematical Journal
Generalizing the notion of the almost free group we introduce almost Butler groups. An almost -group of singular cardinality is a -group. Since almost -groups have preseparative chains, the same result in regular cardinality holds under the additional hypothesis that is a -group. Some other results characterizing -groups within the classes of almost -groups and almost -groups are obtained. A theorem of stating that a group of weakly compact cardinality having a -filtration consisting...
Rolf Burkhardt, Otto Mutzbauer (1996)
Rendiconti del Seminario Matematico della Università di Padova
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