Some extensions of right N-semilocal rings | ||||
| Journal of Scientific Research in Science | ||||
| Volume 41, Issue 1, 2024, Page 13-25 PDF (506.46 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/jsrs.2024.243649.1119 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Samah Hassan Saad Elbishlawy   1; Abdelrahman Mohamed Hassanein2; Samia Mohamed Abdelwahab3
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| 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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