عنوان مجله
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
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چکیده
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In this article, new results on the Gabriel localizations are obtained. As an
application of them, it is shown that a morphism of rings is a flat epimorphism of rings
if and only if it corresponds to a kind of the Gabriel localizations. Using this result, new
progress in the understanding of the structure of flat epimorphisms of rings have been
made. Especially among them, a set-theoretical gap in the structure of the ring M(R),
the maximal flat epimorphic extension of a ring R, has been fixed.
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