Some extensions of right N-semilocal rings | ||
| Journal of Scientific Research in Science | ||
| Volume 41, Issue 1, 2024, Pages 13-25 PDF (506.46 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/jsrs.2024.243649.1119 | ||
| Authors | ||
| Samah Hassan Saad Elbishlawy* 1; Abdelrahman Mohamed Hassanein2; Samia Mohamed Abdelwahab3 | ||
| 1Mathematics Department, Faculty of Science, College for Women (Art, Science and Education), Ain Shams University, Cairo, Egypt. | ||
| 2Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt. | ||
| 3Mathematics 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. | ||
| Keywords | ||
| Ϝormal triangular matrix ring; generalized upper triangular matrix ring; trivial Morita context; Morita context | ||
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