Back to Search
Start Over
The Upper Radical Property and Lower Radical Property of Groups.
- Source :
- Algebra Colloquium; Dec2011, Vol. 18 Issue 4, p693-700, 8p
- Publication Year :
- 2011
-
Abstract
- We take in this paper an arbitrary class $\mathcal{K}$ of groups as a base, and define a radical property 풫 for which every group in $\mathcal{K}$ is 풫-semisimple. This is called the upper radical property determined by the class $\mathcal{K}$. At the same time, we define a radical property 풫 for which every group in $\mathcal{K}$ is a 풫-radical group. This is called the first lower radical property determined by the class $\mathcal{K}$. Also, we give another construction leading to the second lower radical property which is proved to be identical with the first one. [ABSTRACT FROM AUTHOR]
- Subjects :
- GROUP theory
MATHEMATICAL analysis
NUMERICAL analysis
MATHEMATICAL proofs
SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 18
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 66359558
- Full Text :
- https://doi.org/10.1142/S100538671100054X