Let L be a lattice. For x ∈ L, we say x is a consistent join-irreducible if x V y is a join-irreducible of the lattice [y,1] for all y in L. We say L is consistent if every join-irreducible of L is consistent. In this dissertation, we study the notion of consistent elements in semimodular lattices.

Past research has shown that there are differences between children's ability to express verbally moral judgment or social cognitive principles (cognitive-expression) and their ability to understand and utilize these principles when making evaluations about others (cognitive-reception). This study investigated these differences.

This thesis is concerned with three problems. The first is that of distinguishing and defining one category of video art. The second is developing criteria for the evaluation of works in this category. The third problem is the application of these criteria to a new psycho-narrative video art piece created by the author as well as two pieces by other artists. This paper examines the use of film and video as an art form, focusing on specific influences affecting the evolution of psycho-narrative video art. Definitions for video art and psycho-narrative video art are developed. Descriptive criteria and three critiques are used to justify the conclusions. A concluding artist statement presents the personal view of the author.