Abstract
B.M. Schein has proved that in the semigroup variety NIB = Mod(x(2) = x, xuvy = xvuy) of normal bands one can find at most four pairwise non-isomorphic semigroups with isomorphic monoids of endomorphisms.
We prove here the same result for the extension semigroup variety (NB) over tilde = Mod(x(2)y = xy,xuvy = xvuy) of NB, properly separated from N only by the variety of inflations of the N-semigroups.