Displaying similar documents to “On subalgebra lattices of a finite unary algebra. II.”

On subalgebra lattices of a finite unary algebra. I.

Konrad Pióro (2001)

Mathematica Bohemica

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One of the main aims of the present and the next part [15] is to show that the theory of graphs (its language and results) can be very useful in algebraic investigations. We characterize, in terms of isomorphisms of some digraphs, all pairs 〈 𝐀 , 𝐋 〉 , where 𝐀 is a finite unary algebra and L a finite lattice such that the subalgebra lattice of 𝐀 is isomorphic to 𝐋 . Moreover, we find necessary and sufficient conditions for two arbitrary finite unary algebras to have isomorphic subalgebra lattices....