Generalized-pure-hereditary radical classes of Abelian groups
Barry J. Gardner (1973)
Commentationes Mathematicae Universitatis Carolinae
Maciej Sablik (1987)
Aequationes mathematicae
Pancar, Ali (1997)
International Journal of Mathematics and Mathematical Sciences
Heiner Zieschang (1977)
Mathematische Annalen
Bohdan Zelinka (1981)
Czechoslovak Mathematical Journal
Dennis Bertholf, Gary Lee Walls (1978)
Czechoslovak Mathematical Journal
Igor Kossaczký (1987)
Mathematica Slovaca
Donna Beers, Fred Richman, Elbert A. Walker (1983)
Rendiconti del Seminario Matematico della Università di Padova
Marie-Paule Brameret (1962/1963)
Séminaire Dubreil. Algèbre et théorie des nombres
Khalid Benabdallah, Robert Bradley (1977)
Revista colombiana de matematicas
Carlo Casolo (1989)
Rendiconti del Seminario Matematico della Università di Padova
Janusz Dronka, Bronislaw Wajnryb, Paweł Witowicz, Kamil Orzechowski (2017)
Open Mathematics
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.
L. Fuchs, L. Salce (1976)
Rendiconti del Seminario Matematico della Università di Padova
Szabó, Sándor (2005)
Beiträge zur Algebra und Geometrie
Krylov, P.A. (2002)
Sibirskij Matematicheskij Zhurnal
R.J. Nunke (1967)
Mathematische Zeitschrift
Ulrich F. Albrecht, Jong-Woo Jeong (1998)
Czechoslovak Mathematical Journal
Glaz and Wickless introduced the class of mixed abelian groups which have finite torsion-free rank and satisfy the following three properties: i) is finite for all primes , ii) is isomorphic to a pure subgroup of , and iii) is torsion. A ring is a left Kasch ring if every proper right ideal of has a non-zero left annihilator. We characterize the elements of such that is a left Kasch ring, and discuss related results.
Otto Mutzbauer, Elias Toubassi (1999)
Czechoslovak Mathematical Journal
W. Comfort, I. Remus (1993)
Fundamenta Mathematicae
The least cardinal λ such that some (equivalently: every) compact group with weight α admits a dense, pseudocompact subgroup of cardinality λ is denoted by m(α). Clearly, . We show: Theorem 4.12. Let G be Abelian with |G| = γ. If either m(α) ≤ α and m, or α > ω and , then G admits a pseudocompact group topology of weight α. Theorem 4.15. Every connected, pseudocompact Abelian group G with wG = α ≥ ω satisfies . Theorem 5.2(b). If G is divisible Abelian with , then G admits at most -many...
David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak (2013)
Czechoslovak Mathematical Journal
Almost completely decomposable groups with a critical typeset of type and a -primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient , either no indecomposables if ; only six near isomorphism types of indecomposables if ; and indecomposables of arbitrary large rank if .