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Duality for some free modes

Krzysztof J. Pszczoła;  Anna B. Romanowska;  Jonathan D.H. Smith — 2003

Discussiones Mathematicae - General Algebra and Applications

The paper establishes a duality between a category of free subreducts of affine spaces and a corresponding category of generalized hypercubes with constants. This duality yields many others, in particular a duality between the category of (finitely generated) free barycentric algebras (simplices of real affine spaces) and a corresponding category of hypercubes with constants.

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