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Commutative Unary Algebras with Join-Semidistributive Topology Lattices

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Abstract

In this paper, it is proved that a commutative unary algebra with join-semidistributive topology lattice either is two-element or any two monogenic subalgebras of this algebra are comparable under inclusion. We also describe the class of all algebras with one unary operations whose topology lattices are join-semidistributive.

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Correspondence to A. V. Kartashova.

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Kartashova, A.V. Commutative Unary Algebras with Join-Semidistributive Topology Lattices. Lobachevskii J Math 41, 207–213 (2020). https://doi.org/10.1134/S1995080220020092

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  • DOI: https://doi.org/10.1134/S1995080220020092

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