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One-sided del-Drazin inverses
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DOI：10.1007/s11587-026-01086-9.png)
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Abstract
En 中文
Our aim is to introduce one-sided kinds of the del-Drazin inverse in associative rings R with unity, where del(R)={a is an element of R:1-au is a unit for all unit u with ua=au} is the largest Jacobson radical subring (closed by multiplication by nilpotent elements) of a ring R. In particular, left and right del-Drazin inverses are defined for elements of a ring. Many characterizations for left (or right) del-Drazin invertible elements are established based on idempotents, tripotents, powers and matrix representation forms. Certain expressions for left (or right) del-Drazin inverse are given too.
Keywords:
del-Drazin inverse
left and right (del-)generalized Drazin inverse