Tensor products of sup-lattices and generalized sup-arrows

T. Kenney and R.J. Wood

An alternative description of the tensor product of sup-lattices is given with yet another description provided for the tensor product in the special case of CCD sup-lattices. In the course of developing the latter, properties of sup-preserving functions and the totally below relation are generalized to not-necessarily-complete ordered sets.

Keywords: adjunction, tensor product, totally below, CCD, idempotent

2000 MSC: 18A25

Theory and Applications of Categories, Vol. 24, 2010, No. 11, pp 266-287.

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Revised 2010-06-10. Original version at
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