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Existence of Moore-Penrose inverses in rings with involution |
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รหัสดีโอไอ | |
Creator | 1. Wannisa Apairat 2. Sompong Chuysurichay |
Title | Existence of Moore-Penrose inverses in rings with involution |
Publisher | Research and Development Office, Prince of Songkla University |
Publication Year | 2561 |
Journal Title | Songklanakarin Journal of Science and Technology |
Journal Vol. | 40 |
Journal No. | 5 |
Page no. | 1061-1065 |
Keyword | Moore-Penrose inverse, ring with involution |
URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
ISSN | 0125-3395 |
Abstract | We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring withinvolution. IfRis a ring with involution, we also investigate the existence of the Moore-Penrose inverse of the product1 2 nx x x where1 2 , , ,nx x x are Moore-Penrose invertible elements ofR . |