Geodesic
Additive properties of central Drazin invertibility of elements in a ring
Filomat, Tome 36 (2022) no. 7, p. 2493

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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 + a c b, when a 2 b = aba and b 2 a = 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 abb © = baa ©.
DOI : 10.2298/FIL2207493L
Classification : 15A09, 16U80
Keywords: central Drazin inverse, central group inverse, Drazin inverse, ring 
Wende Li; Jianlong Chen. Additive properties of central Drazin invertibility of elements in a ring. Filomat, Tome 36 (2022) no. 7, p. 2493 . doi: 10.2298/FIL2207493L
@article{10_2298_FIL2207493L,
     author = {Wende Li and Jianlong Chen},
     title = {Additive properties of central {Drazin} invertibility of elements in a ring},
     journal = {Filomat},
     pages = {2493 },
     year = {2022},
     volume = {36},
     number = {7},
     doi = {10.2298/FIL2207493L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207493L/}
}
TY  - JOUR
AU  - Wende Li
AU  - Jianlong Chen
TI  - Additive properties of central Drazin invertibility of elements in a ring
JO  - Filomat
PY  - 2022
SP  - 2493 
VL  - 36
IS  - 7
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2207493L/
DO  - 10.2298/FIL2207493L
LA  - en
ID  - 10_2298_FIL2207493L
ER  - 
%0 Journal Article
%A Wende Li
%A Jianlong Chen
%T Additive properties of central Drazin invertibility of elements in a ring
%J Filomat
%D 2022
%P 2493 
%V 36
%N 7
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2207493L/
%R 10.2298/FIL2207493L
%G en
%F 10_2298_FIL2207493L

Cité par Sources :