Priestley duality for demi-p-lattices (Q1272110)

An algebra \({\langle }L,+,\cdot ,',0,1{\rangle }\) is a demi-p-lattice if \({\langle }L,+,\cdot ,0,1{\rangle }\) is a distributive lattice with 0 and 1 which satisfies the identities: \( (x+y)'=x'y'\); \((xy)''=x''y''\); \(x'''=x'\); \(x'x''=0\); \(0'=1\); \(1'=0\). The author describes Priestley spaces which are dual spaces of demi-p-lattices in terms of Priestley spaces that are dual spaces of pseudocomplemented distributive lattices. Also, characterizations of subvarieties of demi-p-lattices generated by a single finite subdirectly irreducible demi-p-lattice are given.