On the linear weak topology and dual pairings over rings

Jawad Y. Abuhlail

doi:10.1016/j.topol.2004.09.006

On the linear weak topology and dual pairings over rings

Jawad Y. Abuhlail^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 α-condition.

Original language	English
Pages (from-to)	161-175
Number of pages	15
Journal	Topology and its Applications
Volume	149
Issue number	1-3
DOIs	https://doi.org/10.1016/j.topol.2004.09.006
State	Published - 28 Apr 2005

Keywords

Dense pairings
Dual pairings
Finite topology
Linear weak topology
Locally projective modules

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2004.09.006

Cite this

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abstract = "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 α-condition.",

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AB - 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 α-condition.

KW - Dense pairings

KW - Dual pairings

KW - Finite topology

KW - Linear weak topology

KW - Locally projective modules

UR - https://www.scopus.com/pages/publications/15844402500

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DO - 10.1016/j.topol.2004.09.006

M3 - Article

AN - SCOPUS:15844402500

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EP - 175

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1-3

ER -

On the linear weak topology and dual pairings over rings

Abstract

Keywords

ASJC Scopus subject areas

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