Some extensions of right N-semilocal rings

Abstract

In this paper, we study the necessary and sufficient conditions for the formal triangular matrix ring, the generalized upper triangular matrix ring, the trivial Morita context, and the Morita context to be right N-semilocal, right N-semiperfect, right N-right perfect, and right N-semiprimary.

Keywords

• ϝormal triangular matrix ring; generalized upper triangular matrix ring; trivial morita context; morita context.