Author:
Mohamed Saad,Müller Bruno J.,Singh Surjeet
Abstract
AbstractQuasi-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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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