C#-IDEALS OF LIE ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 9، شماره 1، آذر 2021، صفحه 45-51 اصل مقاله (121.1 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2020.9458.1461 | ||
| نویسنده | ||
| L. Goudarzi* | ||
| Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran. | ||
| چکیده | ||
| Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$. This is analogous to the concept of a $c^{\#}$-normal subgroup of a finite group. Now, we consider the influence of this concept on the structure of finite dimentional Lie algebras. | ||
| کلیدواژهها | ||
| C^#-ideal؛ Lie algebra؛ CAP-subalgebra؛ solvable؛ supersolvable | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 498 تعداد دریافت فایل اصل مقاله: 465 |
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