2 research outputs found
Study of Pseudo BLâAlgebras in View of Left Boolean Lifting Property
In this paper, we define left Boolean lifting property (right Boolean lifting property) LBLP (RBLP) for pseudo BLâalgebra which is the property that all Boolean elements can be lifted modulo every left filter (right filter) and next, we study pseudo BL-algebra with LBLP (RBLP). We show that Quasi local, local and hyper Archimedean pseudo BLâalgebra that have LBLP (RBLP) has an interesting behavior in direct products. LBLP (RBLP) provides an important representation theorem for semi local and maximal pseudo BLâalgebra