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| On Characterizations of Special Elements in Rings with Involution |
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Citation： |
Sanzhang XU,Jianlong CHEN,Dijana MOSI' C.On Characterizations of Special Elements in Rings with Involution[J].Chinese Annals of Mathematics B,2019,40(1):65~78 |
| Page view： 1302
Net amount： 947 |
Authors： |
Sanzhang XU; Jianlong CHEN;Dijana MOSI' C |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11201063, 11771076) and the Ministry of
Education and Science, Republic of Serbia (No.174007). |
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| Abstract： |
Let $R$ be a ring with involution. It is well-known that an EP
element in $R$ is a core invertible element, but the question when a
core invertible element is an EP element, the authors answer in this
paper. Several new characterizations of star-core, normal and
Hermitian elements in $R$ are also presented. |
Keywords： |
Moore-Penrose inverse, Core inverse, EPelement, Star-core element, Normal element, Hermitian element |
Classification： |
15A09, 16W10, 16B99 |
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