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• W2758719049 abstract "It has long been known in universal algebra that any distributive sublattice of congruences of an algebra which consists entirely of commuting congruences yields a sheaf representation of the algebra. In this paper we provide a generalization of this fact and prove a converse of the generalization. To be precise, we exhibit a one-to-one correspondence (up to isomorphism) between soft sheaf representations of universal algebras over stably compact spaces and frame homomorphisms from the dual frames of such spaces into subframes of pairwise commuting congruences of the congruence lattices of the universal algebras. For distributive-lattice-ordered algebras this allows us to dualize such sheaf representations." @default.
• W2758719049 created "2017-10-06" @default.
• W2758719049 creator A5028851521 @default.
• W2758719049 creator A5056425394 @default.
• W2758719049 date "2018-08-01" @default.
• W2758719049 modified "2023-09-25" @default.
• W2758719049 title "Sheaves and duality" @default.
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• W2758719049 doi "https://doi.org/10.1016/j.jpaa.2017.09.004" @default.
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