ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES
Abdelhakim, D., Salem, R., El-Din, S. (2024). ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES. EKB Journal Management System, 41(1), 1-12. doi: 10.21608/jsrs.2024.237456.1121
Dina Abdelhakim; Refaat Salem; Sarah El-Din. "ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES". EKB Journal Management System, 41, 1, 2024, 1-12. doi: 10.21608/jsrs.2024.237456.1121
Abdelhakim, D., Salem, R., El-Din, S. (2024). 'ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES', EKB Journal Management System, 41(1), pp. 1-12. doi: 10.21608/jsrs.2024.237456.1121
Abdelhakim, D., Salem, R., El-Din, S. ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES. EKB Journal Management System, 2024; 41(1): 1-12. doi: 10.21608/jsrs.2024.237456.1121

ALMOST right (left) SEMICLEAN RINGS of SKEW GENERALIZED POWER SERIES

Journal of Scientific Research in Science
Volume 41, Issue 1, 2024, Pages 1-12    PDF (533.69 K)
Document Type: Original Article
DOI: 10.21608/jsrs.2024.237456.1121
Authors
Dina Abdelhakim* 1; Refaat Salem2; Sarah El-Din3
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
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