Compactness via equivalence relations

A. Laradji

doi:10.1007/s00012-008-2114-9

Compactness via equivalence relations

A. Laradji^*

^*Corresponding author for this work

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

Abstract

We introduce a notion of compactness via equivalence relations and use it to show that congruent compact algebras as well as equationally (and topologically) compact structures are all atomic compact relational systems. We then apply this notion to generalize certain results on algebraic and linear compactness of modules.

Original language	English
Pages (from-to)	429-434
Number of pages	6
Journal	Algebra Universalis
Volume	59
Issue number	3-4
DOIs	https://doi.org/10.1007/s00012-008-2114-9
State	Published - Dec 2008

Keywords

Compactness of general algebras
Equivalence relations
Relational systems

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00012-008-2114-9

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abstract = "We introduce a notion of compactness via equivalence relations and use it to show that congruent compact algebras as well as equationally (and topologically) compact structures are all atomic compact relational systems. We then apply this notion to generalize certain results on algebraic and linear compactness of modules.",

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author = "A. Laradji",

year = "2008",

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language = "English",

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KW - Compactness of general algebras

KW - Equivalence relations

KW - Relational systems

UR - https://www.scopus.com/pages/publications/58149157907

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DO - 10.1007/s00012-008-2114-9

M3 - Article

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JO - Algebra Universalis

JF - Algebra Universalis

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ER -

Compactness via equivalence relations

Abstract

Keywords

ASJC Scopus subject areas

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Cite this