Automorphisms Of P O P-Lattices With Distinguished Chain Base
Khalil I. Tabash · Demonstratio Mathematica · 1990
The concept of P Q -lattice was first introduced by T. Traczyk [6].P Q -lattices which are P-algebras (called P Q P-lattices) are examined in [3].P 2 ~lattices and P^lattices are examined in [2].The automorphism group of a finite P 2 ~lattice was given in [5].The relation between finite P 2 ~lattice and P Q -lattice is given by Theorem 4.11 of [2], It is known that, the chain base of a P 2 ~lattice is unique but of a P Q -lattice is not necessarily unique.The aim of this paper is to describe the automorphisms of a finite P Q P-lattice that make the chain of constants e Q ,... / e n _ 1 fixed, where the chain satisfies the condition: (*) If a is an atom of B and 0 * ae^, then 0 * ae^ for all 1 s j s i s n-2.