JournalsrsmupVol. 127falsepp. 107–120

Generalized Cotorsion Locally Compact Abelian Groups

  • N.I. Kryuchkov

    Ryazan State University, Russian Federation
Generalized Cotorsion Locally Compact Abelian Groups cover

Abstract

This paper is concerned with the generalization of the concept of cotorsion abelian group. A locally compact abelian group LL is called generalized cotorsion if LL contains a compact open subgroup KK such that the character group of KK and the group L/KL/K are cotorsion groups. Some properties and homological characteristics of generalized cotorsion groups are obtained. The classification problem of generalized cotorsion groups is discussed.

Cite this article

N.I. Kryuchkov, Generalized Cotorsion Locally Compact Abelian Groups. Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 107–120

DOI 10.4171/RSMUP/127-7