Abstract
We consider the variety of unary algebras 〈A, f, g〉 defined by the identities f(g(x)) = g(f(x)) = x. We describe algebras of this variety, whose topology lattices are modular, distributive, linearly ordered, complemented, or pseudocomplemented.
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Original Russian Text © A.V. Kartashova, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 4, pp. 25–32.
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Kartashova, A.V. Lattices of topologies of unary algebras of the variety \( \mathcal{A}_{1,1} \) . Russ Math. 53, 20–25 (2009). https://doi.org/10.3103/S1066369X09040033
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DOI: https://doi.org/10.3103/S1066369X09040033