On an unpublished manuscript of ivan prodanov concerning locally compact modules and their dualities(∗)

DOI10.1080/00927878908823873zbMath0689.16018OpenAlexW2092030515MaRDI QIDQ3031126

Adalberto Orsatti, Dikran Dikranjan

Publication date: 1989

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878908823873

zbMATH Keywords

Picard groupbijective correspondencecategory of unital locally compact R-modulesdiscontinuous dualitiesfunctional DualityPontryagin functor

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Compactness (54D30) Duality theorems for locally compact groups (22D35) Topological rings and modules (13J99) Topological and ordered rings and modules (16W80) Other topological algebraic systems and their representations (22A30)

Related Items (7)

On the investigations of Ivan Prodanov in the theory of abstract spectra ⋮ On the dualities between categories of k-completely regular modules ⋮ A survey on reflexivity of abelian topological groups ⋮ The Pinsker subgroup of an algebraic flow ⋮ An elementary approach to Haar integration and Pontryagin duality in locally compact Abelian groups ⋮ Groups of Dualities ⋮ Dualities of locally compact modules over the rationals.

Cites Work

• Pontryagin type dualities over commutative rings
• Good dualities and strongly quasi-injective modules
• Dualities between categories of topological modules

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