Representation theorem of interlaced bilattice with conflation. (English) Zbl 0935.06005
Summary: So far some representation theorems for extensions of pre-bilattices, for example those for interlaced bilattices and for distributive bilattices, except interlaced bilattices with negation or conflation, are obtained. In this paper, we obtain a representation theorem for interlaced bilattices with conflation. That is, every interlaced bilattice \(B\) with conflation can be represented as a product of a nontrivial lattice \(L\) with lattice negation \(\neg\), in the form \(B\cong L\odot(\neg L)\).