Strongly prime one-sided ideals and module properties

Ph.D. - Doctoral Progra

Lie derivations of a matrix ring over an associative ring

WOS: 000474439900001Let K be a two-torsion free associative ring with identity. We give a description of the Lie derivations of the ring of all matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K

Jordan Derivations of Special Subrings of Matrix Rings

WOS: 000460543000007Let K be a 2-torsion free ring with identity and R-n (K, J) be the ring of all n x n matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K. We describe all Jordan derivations of the matrix ring R-n (K, J) in this paper. The main result states that every Jordan derivation Delta of R-n (K, J) is of the form Delta = D + Omega, where D is a derivation of R-n (K, J) and Omega is an extremal Jordan derivation of R-n (K, J)

Kronecker products and spectral decomposition in a network flow problem

This paper begins with review of algebras related to Kronecker products and spectral decomposition, and deals with these algebras which have several applications in a network flow problem. It is shown that result obtained for the matrix A can be also applied to the submatrix M, where A is the coefficient matrix of the problem and M is a particular submatrix of A.</p