  We provide a classification of generalized tilting modules and full
exceptional sequences for the dual extension algebra of the path algebra of a
uniformly oriented linear quiver modulo the ideal generated by paths of length
two with its opposite algebra. For the classification of generalized tilting
modules we develop a combinatorial model for the poset of indecomposable
self-orthogonal modules with standard filtration with respect to the relation
arising from higher extensions.
