On subgroupoid lattices of some finite groupoid.

Pióro, K.

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The subalgebra lattice of a finite algebra

Konrad Pióro (2014)

Open Mathematics

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The aim of this paper is to characterize pairs (L, A), where L is a finite lattice and A a finite algebra, such that the subalgebra lattice of A is isomorphic to L. Next, necessary and sufficient conditions are found for pairs of finite algebras (of possibly distinct types) to have isomorphic subalgebra lattices. Both of these characterizations are particularly simple in the case of distributive subalgebra lattices. We do not restrict our attention to total algebras only, but we consider...