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Quasi-dual-continuous modules

Published online by Cambridge University Press:  09 April 2009

Saad Mohamed ,
Bruno J. Müller  and
Surjeet Singh
Saad Mohamed
Affiliation:
Department of Mathematics, Kuwait University, Kuwait
Bruno J. Müller
Affiliation:
Department of Mathematics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 3 , December 1985 , pp. 287 - 299
Copyright
Copyright © Australian Mathematical Society 1985

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