  A significant correlation between Nelson algebras and Heyting algebras has
been explored by several scholars, including Cignoli, Fidel, Vakarelov, and
Sendlewski. This connection is integral to the concept of twist structures,
whose origins can be traced back to the work of Kalman. In this paper, we
obtain an expansion of the Fidel-Vakarelov construction, applying it to monadic
Godel algebras (or monadic prelinear Heyting algebras). This extension leads to
the emergence of a new variety, which we aptly term monadic prelinear Nelson
algebras.
