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Volume :23 Issue : 1 1996      Add To Cart                                                                    Download

On h-pure and pure submodules of a QTAG-module

Auther : SURJEET SINGH AND HASSAN AL-ZAID

 Department of Mathematics, Kuwait University, P.O. Box 5969 Safat 13060, Kuwait

 ABSTRACT

The concept of an h-pure submodule plays a central role in studying QTAG-modules. In this note it is proved that for any QTAG-module MR, where R is a right noetherian ring, any submodule of M is h-pure, if and only if, it is a pure submodule. An example is given to show that this result does not hold for a QTAG-module over an arbitrary ring.

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