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- Title
MODULES INJECTIVE WITH RESPECT TO MAXIMAL IDEALS.
- Authors
Crivei, Septimiu
- Abstract
Let R be an associative ring with non-zero identity. An -R-module D is called m-injective if any homomorphism from any maximal left ideal of R to D extends to R. This type of injectivity coincides with injectivity with respect to the Dickson torsion theory. We establish some properties for m-cocritical modules over a commutative ring as well as decomposition theorems for certain m-injective modules which are m-injective hulls of each of their non-zero submodules
- Subjects
MAXIMAL ideals; INJECTIVE modules (Algebra); IDEALS (Algebra); PRIME ideals; MODULES (Algebra)
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015, Vol 23, Issue 1, p13
- ISSN
1224-1784
- Publication type
Article