Rendiconti del Seminario Matematico della Università di Padova


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Volume 127, 2012, pp. 107–120
DOI: 10.4171/RSMUP/127-7

Generalized Cotorsion Locally Compact Abelian Groups

N.I. Kryuchkov[1]

(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