On component extensions locally compact abelian groups
Publish place: The Journal of Algebra and Related Topics، Vol: 4، Issue: 1
Publish Year: 1395
Type: Journal paper
Language: English
View: 74
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Document National Code:
JR_JART-4-1_001
Index date: 21 July 2024
On component extensions locally compact abelian groups abstract
Let \pounds be the category of locally compact abelian groups and A,C\in \pounds. In this paper, we define component extensions of A by C and show that the set of all component extensions of A by C forms a subgroup of Ext(C,A) whenever A is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. We also gives a necessary condition for an LCA group to be component injective in \pounds.
On component extensions locally compact abelian groups Keywords:
On component extensions locally compact abelian groups authors
H. Sahleh
Department of Mathematics, University of Guilan
A. A. Alijani
Department of Mathematics, University of Guilan
