Kubichka Y. Modality of representations of ordered sets

The thesis is devoted to the description of finite type dimensions of representations of partially ordered sets. The criterion of finiteness of dimension type of representation of partially ordered sets is obtained. The criterion of existence of indecomposable representations in finite type dimensions of representations of partially ordered sets is presented. There calculated all sincere indecomposable representations of "critical" partially ordered sets of finite dimension type and introduced software for computer search of finite type dimensions of representations of partially ordered sets.