Turkish Journal of Mathematics
Article Title
Closure of Minimal Extensions
DOI
-
Abstract
Let R be a commutative ring with a unit and M an R-module. In this paper we give a comparison between the F-closure in M of an R-submodule having a minimal extension and the closure of this minimal extension for the same Gabriel topology defined on the ring R. If J(R) \in F we prove that both closures are the same. Moreover, if R is Artinian or semi-simple then the converse also holds.
Keywords
Jacobson radical and closure of minimal extensions
First Page
409
Last Page
414
Recommended Citation
HAJOUI, M. EL and MIRI, A. (2007) "Closure of Minimal Extensions," Turkish Journal of Mathematics: Vol. 31: No. 4, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol31/iss4/7
