논문KCI 등재
Generalized Inverses and Solutions to Equations in Rings with Involution
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In this paper, we focus on partial isometry elements and strongly EP elements or a ring. We construct characterizing equations such that an element which both group invertible and MP-invertible, is a partial isometry element, or is strongly EP, exactly when these equations have solution in a given set.
Abstract
In this paper, we focus on partial isometry elements and strongly EP elements or a ring. We construct characterizing equations such that an element which both group invertible and MP-invertible, is a partial isometry element, or is strongly EP, exactly when these equations have solution in a given set.
참고문헌 (15)
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- Y. C. Qu, "Characterizations of normal elements in ring with involution", Acta. Math. Hungar., 156(2), pp.459~464 (2018)
- S. Z. Xu, "EP elements in rings with involution", Bull. Malay. Math. Soc. Ser., 42, pp.3409~3426 (2019)
- Z. C. Xu, "Strongly EP elements in a ring with involution", Filomat, 34(6), pp.2101~2107 (2020)
- R. J. Zhao, "Characterizations of partial isometries and two special kinds of EP elements", Czechoslovak Math. J., 70, pp.539~551 (2020)
- D. D. Zhao, "Strongly EP elements in rings with involution", J. Algebra Appl., 21(5), pp.2250088~ (2022)
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