Linear operator on group inverses of symmetric matrices over principal ideal domain;

On the matrices over a principal ideal domain;

A class of matrix equations over a principal ideal domain;

Preservers on Group Inverses of Symmetric Matrices Problems over PID;

Linear Preserving D Inverses of Matrices Problems over Fields and {1} Inverses over PID;

This paper proves the existence theorem of the system of basic solutions for the right homogeneous linear equation sets over a non-commutative principal ideal domain R and gives the representation of the solutions for the right linear equation sets over R.

Chinese remainder theorem in principal ideal ring;