Zhuravlev D. Semiperfect semidistributive and semiprime rings

There is described the construction of Gorenstein's tiled order exponent matrix, with Kyrychenko's permutation is a product of disjoint cycles, with lengths are coprime in total. The consept of l-admissible quiver is introduced. The sufficient condition of having infinite quantity of nonisomorphic exponent matrices foradmissible quiver is obtained. The projective cover of irreducible lattice is considered. The kernel of projective cover of irreducible lattice is also obtained. All tiled orders of finite global dimension in M6(D) are obtained up to isomorphism. The concept of the system of distributive equations. The method for solving of system of distributive equations and possible cases of simplifying the form of solution and the method for computing the projective cover of the projective resolution are obtained. The obtained results provide the possibility to compute the kernels and projective covers of resolutions and to construct the resolution.