Turkish Journal of Mathematics
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.
DOI
-
Keywords
Jacobson radical and closure of minimal extensions
First Page
409
Last Page
414
Recommended Citation
HAJOUI, M. E, & MIRI, A (2007). Closure of Minimal Extensions. Turkish Journal of Mathematics 31 (4): 409-414. https://doi.org/-
