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Modules with Unique Closure Relative to a Torsion Theory |
Canad. Math. Bull. 53(2010), 230-238
Published:2009-12-04
Printed: Jun 2010
Printed: Jun 2010
- S. Doğruöz
- A. Harmanci
- P. F. Smith
Abstract
We consider when a single submodule and also when every submodule of a module M over a general ring R has a unique closure with respect to a hereditary torsion theory on $\operatorname{Mod}$-R.
| Keywords: | closed submodule, $UC$-module, torsion theory |
| MSC Classifications: | 16S90 - Torsion theories; radicals on module categories [See also 13D30, 18E40] {For radicals of rings, see 16Nxx} |