Rendiconti del Seminario Matematico della Università di Padova
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Generalized Cotorsion Locally Compact Abelian GroupsN.I. Kryuchkov (1) Department of Mathematics, Ryazan State University, Svobody 46, 390048, Ryazan, 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