Abstract
This paper presents the results of an analysis of the structures of an information system of a hierarchical structure using algebraic methods, emphasizing its functioning as a result of the interaction of external factors. An assessment of the structure bonds is obtained using a matrix apparatus. The main attention in this paper is paid to methods of structure analysis with unknown principles and algorithms for the functioning of systems. The proposed approach to the analysis of the structure of systems is based on the principle of a sequential analysis of acceptable options for constructing individual elements, parts and systems as a whole with the subsequent selection of the best option for its implementation and development on an acceptable set of system structure. This paper presents the results of an analysis of the structures of an information system by the methods of algebra, emphasizing its functioning as a result of the interaction of external factors.