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Leavitt path algebras for power graphs of finite groups.
- Source :
-
Journal of Algebra & Its Applications . Oct2022, Vol. 21 Issue 10, p1-13. 13p. - Publication Year :
- 2022
-
Abstract
- The aim of this paper is the characterization of algebraic properties of Leavitt path algebra of the directed power graph (G) and also of the directed punctured power graph ∗ (G) of a finite group G. We show that Leavitt path algebra of the power graph (G) of finite group G over a field K is simple if and only if G is a direct sum of finitely many cyclic groups of order 2. Finally, we prove that the Leavitt path algebra L K ( ∗ (G)) is a prime ring if and only if G is either cyclic p -group or generalized quaternion 2 -group. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 21
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 158906815
- Full Text :
- https://doi.org/10.1142/S0219498822502097