| تعداد نشریات | 32 |
| تعداد شمارهها | 813 |
| تعداد مقالات | 7,873 |
| تعداد مشاهده مقاله | 36,513,607 |
| تعداد دریافت فایل اصل مقاله | 8,285,519 |
On continuous cohomology of locally compact Abelian groups and bilinear maps | ||
| Journal of Algebra and Related Topics | ||
| مقاله 6، دوره 1، شماره 1، بهمن 2013، صفحه 67-77 اصل مقاله (304.62 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| H. Sahleh* | ||
| University of Guilan | ||
| چکیده | ||
| Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can be embedded in the second bilinear cohomology. | ||
| کلیدواژهها | ||
| Bilinear cohomology؛ central extension؛ nilpotent of class two | ||
|
آمار تعداد مشاهده مقاله: 1,999 تعداد دریافت فایل اصل مقاله: 1,677 |
||