Affiliation:
1. School of Mathematics, Southeast University, Nanjing, China
Abstract
For two central Drazin invertible elements a and b of a ring, we first prove
that a + b is central Drazin invertible under the condition ab = 0. Then we
establish the relation between central Drazin invertibility of a + b and 1 +
acb, when a2b = aba and b2a = bab hold, and also when ab = ba is valid. When
a and b are two central group invertible elements, additive properties of
central group inverses are studied under the condition ab = ba and also abbc
= baac.
Publisher
National Library of Serbia
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