Two examples of subalgebras of the set of functions between bounded lattices

This paper deals with the convolution operations on the set of functions between bounded lattices. Firstly, we show a subset of the set of functions that is both a bisemilattice and a Birkhoff system under the convolution operations and then show another subset of the set of functions that is a bounded distributive lattice under the convolution operations, while the domain lattice of the functions does not need to be distributive.

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