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Lyapunov measures on effect algebras

Anna Avallone, Giuseppina Barbieri (2003)

Commentationes Mathematicae Universitatis Carolinae

We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.

On regular endomorphism rings of topological Abelian groups

Horea Florian Abrudan (2011)

Czechoslovak Mathematical Journal

We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups A for which End c ( A ) is regular is given.

On systems of imprimitivity on locally compact abelian groups with dense actions

J. Mathew, M. G. Nadkarni (1978)

Annales de l'institut Fourier

Consider the four pairs of groups ( Γ , R ) , ( Γ / Γ 0 , R / Γ 0 ) , ( K S , P ) and ( S , B ) , where Γ , R are locally compact second countable abelian groups, Γ is a dense subgroup of R with inclusion map from Γ to R continuous; Γ 0 Γ R is a closed subgroup of R ; S , B are the duals of R and Γ respectively, and K is the annihilator of Γ 0 in B . Let the first co-ordinate of each pair act on the second by translation. We connect, by a commutative diagram, the systems of imprimitivity which arise in a natural fashion on each pair, starting with a system...

Sommes vectorielles d'ensembles de mesure nulle

Michel Talagrand (1976)

Annales de l'institut Fourier

Soit G un groupe localement compact abélien ou un groupe de Lie et A un compact parfait de G . Il existe alors un compact B de mesure de Haar nulle tel que A B = { a b ; a A , b B } soit d’intérieur non vide. En particulier si G est métrisable, les seuls ensembles analytiques tels que A B soit de mesure nulle dès que B l’est, sont dénombrables.

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