In this paper, we define left Boolean lifting property (right Boolean lifting property) LBLP (RBLP) for pseudo BL–algebra 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 BL–algebra that have LBLP (RBLP) has an interesting behavior in direct products. LBLP (RBLP) provides an important representation theorem for semi local and maximal pseudo BL–algebra.
Barani nia, B. and Saeid, A. B.
Study of Pseudo BL–Algebras in View of Left Boolean Lifting Property,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
1, Article 24.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/24