Some extensions of right N-semilocal rings

Document Type : Original Article

Authors

1 Mathematics Department, Faculty of Science, College for Women (Art, Science and Education), Ain Shams University, Cairo, Egypt.

2 Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt.

3 Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt

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 , and the Morita context to be right N-semilocal, right N-semiperfect, right N-right perfect, and right N-semiprimary.

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