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.
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Acknowledgements
The authors are grateful to the referee for constructive comments towards improvement of the original version of this paper. The first author is grateful to China Scholarship Council for giving him a purse for his further study in Universidad Polit´ecnica de Valencia, Spain.
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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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Xu, S., Chen, J. & Mosić, D. On Characterizations of Special Elements in Rings with Involution. Chin. Ann. Math. Ser. B 40, 65–78 (2019). https://doi.org/10.1007/s11401-018-0118-0
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DOI: https://doi.org/10.1007/s11401-018-0118-0