Equivalent Conditions with Left Boolean Lifting Property in Pseudo BL–Algebras

In this paper, we study pseudo BL - algebras with Left Boolean Lifting Property (LBLP). We show that Quasi local and local that have equivalent conditions LBLP and has an interesting behavior in direct products. LBLP provides an important representation theorem for semi local and local pseudo BL – algebra.

Keywords:

Local Pseudo BL – Algebra , Lifting Property , Nilpotent Element , Boolean Center , Prime Filter , Hyper Archimedean Pseudo BL–Algebra