  The purpose of this work is to extend the study of the commutative rings
whose lattice of ideals can be a structure of BL-algebra as carry out by Heubo
et al in 2018, to non commutative rings appointed in the work as pseudo
BL-rings. We study and characterize rings whose ideals form a pseudo
BL-algebra, we describe them in terms of their subdirectly irreductible
factors. We obtain that these are (up to isomorphism) to a subring of a direct
sums of unitary special primary rings and discrete valuation ring.
