On the Linear Weak Topology and Dual Pairings over Rings

dc.creatorAbuhlail, Jawad Y.
dc.date2003-06-25
dc.date2004-09-14
dc.date.accessioned2026-07-07T04:59:10Z
dc.date.available2026-07-07T04:59:10Z
dc.descriptionIn 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 $α$-condition.
dc.description16 pages, to appear in "Topologu and its Applications"
dc.identifierhttps://arxiv.org/abs/math/0306356
dc.identifierhttp://arxiv.org/abs/math/0306356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67874
dc.subjectRings and Algebras
dc.subject13Jxx, 16E60, 16E99, 16W80
dc.titleOn the Linear Weak Topology and Dual Pairings over Rings
dc.typetext

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