-Hollow Modules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 27, Issue 2, August 2014, Pages 241-250 | ||
| Authors | ||
| Inaam M.A.Hadi; Sameeah Hasoon Aidi | ||
| Abstract | ||
| Let R be a commutative ring with unity and M be a non zerounitary left R-module. M is called a hollow module if every proper submodule N of M is small (N ≪ M), i.e. N + W M for every proper submodule W in M. A -hollow module is a generalization of hollow module, where an R-module M is called -hollow module if every proper submodule N of M is -small (N M), i.e. N + W M for every proper submodule W in M with is singular. In this work we study this class of modules and give several fundamental properties | ||
| Keywords | ||
| Small submodule; small submodule; hollow module; singular module; nonsingular module | ||
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