On atoms in topology lattices of unary algebras

DOI10.1007/S10958-007-0220-4zbMath1169.08003OpenAlexW2022625222MaRDI QIDQ941931

A. V. Kartashova

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0220-4

zbMATH Keywords

atomtopology latticeunary algebratopology generated by congruence

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Other topological algebraic systems and their representations (22A30) Unary algebras (08A60)

Cites Work

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• \(| End A | = | Con A | = | Sub A | = 2^{| A|}\) for any uncountable 1-unary algebra
• Subalgebra lattices of mono-unary algebras
• On lattices of topologies of unary algebras
• Congruences and quasiidentities on unars
• On the Congruence Lattices of Unary Algebras

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