Mathematics – Rings and Algebras
Scientific paper
2003-06-25
Mathematics
Rings and Algebras
16 pages, to appear in "Topologu and its Applications"
Scientific paper
In this note we study the weak topology on paired modules over a (not necessarily commutative) ground ring. Over QF rings we are able to recover most of the well known properties of this topology in the case of commutative base fields. The properties of the linear weak topology and the dense pairings are then used to characterize pairings satisfying the so called $\alpha $-condition.
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