Affiliation:
1. School of Mathematical Science, Guizhou Normal University, P.R. China
2. School of Mathematical Science, Xiamen University, P.R. China
Abstract
In a ring, the expressions for the Drazin inverses of the sum a + b and the
product ab have been studied in some literature under the assumption that
the two Drazin invertible elements a, b are commutative. In this paper, we
will extend the known research results under the weaker conditions.
Meanwhile, we characterize the relations of a + b, (a + b)bbD, I + aDb,
aaD(a + b) and aaD(a + b)bbD and find the expressions of (a + b)D, [(a +
b)bbD]D, (I + aDb)D, etc.
Publisher
National Library of Serbia