A.A. ALIJANI, H.SAHLEH

7696

s-pure extensions of locally compact abelian groups

A subgroup H of a locally compact abelian (LCA) group G is called s-pure if H ? nG = H for every positive integer n. A proper short exact sequence 0→A→φ B→C→0 in the category of LCA groups is said to be s-pure if φ(A) is an s-pure subgroup of G. We establish conditions under which the s-pure exact sequences split and determine those LCA groups which are s-pure injective. We also gives a necessary condition for an LCA group to be s-pure projective in £.
Keywords:

s-pure injective s-pure projective, s-pure extension,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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