Tsymbolinets R. Bimonomial matrices over commutative rings

The thesis is devoted to the study of matrices of special type over commutative rings. In the first chapter of the dissertation, we give a theoretical information on the theory of rings and matrices over them, the theory of representations of finite groups over rings and a part of the theory of groups, which is related to the acting of a group on a set. In the second chapter we give initial definitions and study properties of bimonomial matrices. A quadratic matrix M of order n (i. e. of size n× n) over a commutative ring K is called monomial, if each of its row and column contains not more than one non-zero entry. If all non-zero entries are equal to 1, the matrix M is called permutation.