Let R be a unital ring with involution. The (j,m)-core inverse of a complex matrix was extended to an element in R. New necessary and sufficient conditions such that an element in R to be (j,m)-core invertible are given. Moreover, several additive and product properties of two (j,m)-core invertible elements are investigated and a order related to the (j,m)-core inverse is introduced.
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Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Publication Date | October 6, 2020 |
Published in Issue | Year 2020 |