Geodesic
Drazin invertibility for sum and product of two elements in a ring
Filomat, Tome 37 (2023) no. 6, p. 1751

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

DOI

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)bb D , I + a D b, aa D (a + b) and aa D (a + b)bb D and find the expressions of (a + b) D , (a + b)bb D D , (I + a D b)D , etc.
DOI : 10.2298/FIL2306751Q
Classification : 15A09, 32A65, 16E50
Keywords: Drazin inverse, Ring, Nilpotent, Weakly commutative condition 
Xiaolan Qin; Linzhang Lu. Drazin invertibility for sum and product of two elements in a ring. Filomat, Tome 37 (2023) no. 6, p. 1751 . doi: 10.2298/FIL2306751Q
@article{10_2298_FIL2306751Q,
     author = {Xiaolan Qin and Linzhang Lu},
     title = {Drazin invertibility for sum and product of two elements in a ring},
     journal = {Filomat},
     pages = {1751 },
     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306751Q},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306751Q/}
}
TY  - JOUR
AU  - Xiaolan Qin
AU  - Linzhang Lu
TI  - Drazin invertibility for sum and product of two elements in a ring
JO  - Filomat
PY  - 2023
SP  - 1751 
VL  - 37
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2306751Q/
DO  - 10.2298/FIL2306751Q
LA  - en
ID  - 10_2298_FIL2306751Q
ER  - 
%0 Journal Article
%A Xiaolan Qin
%A Linzhang Lu
%T Drazin invertibility for sum and product of two elements in a ring
%J Filomat
%D 2023
%P 1751 
%V 37
%N 6
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2306751Q/
%R 10.2298/FIL2306751Q
%G en
%F 10_2298_FIL2306751Q

Cité par Sources :