Peter Loth
On t-pure and almost pure exact sequences of LCA groups
A proper short exact sequence
![]()
in the category of locally compact abelian groups is said to be t-pure if &phgr;(A) is a topologically pure subgroup of B, that is, if
![]()
for all positive integers n. We establish conditions under which t-pure exact sequences split and determine those locally compact abelian groups K ⊕ D (where K is compactly generated and D is discrete) which are t-pure injective or t-pure projective. Calling the extension (*) almost pure if
![]()
for all positive integers n, we obtain a complete description of the almost pure injectives and almost pure projectives in the category of locally compact abelian groups.
Journal of Group Theory, Walter de Gruyter
Print ISSN: 1433-5883
Volume: 9, 11/2006
Pages: 799 - 808
Show full article (external site)
Show all available items of this journal
Search
