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On component extensions locally compact abelian groups | ||
| Journal of Algebra and Related Topics | ||
| مقاله 1، دوره 4، شماره 1، شهریور 2016، صفحه 1-11 اصل مقاله (306.77 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| H. Sahleh* ؛ A. A. Alijani | ||
| Department of Mathematics, University of Guilan | ||
| چکیده | ||
| 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 $\pounds$. | ||
| کلیدواژهها | ||
| Component extension؛ component injective؛ component projective | ||
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آمار تعداد مشاهده مقاله: 1,556 تعداد دریافت فایل اصل مقاله: 1,375 |
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