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

Affiliations
Bagher Barani Nia¹ · Benyamin Barani Nia^2
1 Department of Mathematics, Statistics and Computer Science, Islamic Azad University, Minab, Iran.
² Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran.

Abstract
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.

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