Rendiconti del Seminario Matematico della Università di Padova
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Published online: 2012-12-17
Generalized Cotorsion Locally Compact Abelian GroupsN.I. Kryuchkov (1) Ryazan State University, Russian Federation
This paper is concerned with the generalization of the concept of cotorsion abelian group. A locally compact abelian group $L$ is called generalized cotorsion if $L$ contains a compact open subgroup $K$ such that the character group of $K$ and the group $L/K$ are cotorsion groups. Some properties and homological characteristics of generalized cotorsion groups are obtained. The classification problem of generalized cotorsion groups is discussed.
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Kryuchkov N.I.: Generalized Cotorsion Locally Compact Abelian Groups. Rend. Sem. Mat. Univ. Padova 127 (2012), 107-120. doi: 10.4171/RSMUP/127-7