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Quasi-dual-continuous modules

  • Saad Mohamed (a1), Bruno J. Müller (a2) and Surjeet Singh

Abstract

Quasi-dual-continuous modules, which generalize the concept of dual-continuous modules, are studied Mohamed, Müller and Singh had obtained some decomposition theorems and their partial converses for dual-continuous modules. It is shown that these results can be extended to quasi-dual-continuous modules. Further, a short proof of a decomposition theorem for quasi-dual-continuous modules established recently by Oshiro is given. Some more structure theorems for such modules are established. Finally, quasi-dual-continuous covers are studied, and duals for results of Müller and Rizvi are derived.

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References

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Quasi-dual-continuous modules

  • Saad Mohamed (a1), Bruno J. Müller (a2) and Surjeet Singh

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