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In this paper, we study WI-ideal of residuated lattice Wajsberg algebraand investigate some of their properties. Also, we announce the concept of implicative WI-ideal (IWI-ideal)of residuated lattice Wajsberg algebra. Further, we inspect some of its characterizations and attain some properties of residuated lattice H-Wajsberg algebra.

Ideals and IWI-ideals of residuated lattice Wajsberg algebras