ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES | ||||
Journal of Scientific Research in Science | ||||
Volume 41, Issue 1, 2024, Page 1-12 PDF (533.69 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/jsrs.2024.237456.1121 | ||||
![]() | ||||
Authors | ||||
Dina Abdelhakim ![]() | ||||
1Cairo, Egypt.Department of Mathematics, Faculty of Women for Art, Science and Education, Ain Shams University, Cairo, Egypt. | ||||
2Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt | ||||
3Department of Mathematics, Faculty of Science, Al-Azhar University (girls), Nasr City, Cairo, Egypt | ||||
Abstract | ||||
We extend the notions of almost clean, -almost clean, and almost semiclean to the non-commutative setting. Then, we demonstrate that under specific conditions that th skew enera p wer eries rings almost right (left) semiclean if and only if is almost right (left semiclean. | ||||
Keywords | ||||
Strictly ordered monoids; Artinan and narrow subsets; Generalized power series rings; Clean rings | ||||
Statistics Article View: 109 PDF Download: 106 |
||||