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Compactness via equivalence relations

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    A. Laradji

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  1. A. Laradji
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Correspondence to A. Laradji.

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Dedicated to George Grätzer and E. Tamás Schmidt on their 70th birthdays

Received January 3, 2007; accepted in final form March 4, 2008.

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Laradji, A. Compactness via equivalence relations. Algebra univers. 59, 429–434 (2008). https://doi.org/10.1007/s00012-008-2114-9

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  • DOI: https://doi.org/10.1007/s00012-008-2114-9

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