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A negative solution to the finite lattice representation problem

OpenAI

OpenAI Mathopenai-math/A-Negative-Solution-to-the-Finite-Lattice-Representation-ProblemSep 24, 2026math.RAAI-generatedscore 0

We give a negative solution to the finite lattice representation problem. We prove that there is a finite nonempty lattice that is not the full congruence lattice of any finite nonempty algebra of any finite signature.

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