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

Document Type : Original Article

Authors

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

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

3 Department 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.

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