Gs-Drazin inverses of generalized matrices over local rings
Filomat, Tome 36 (2022) no. 6, p. 1991
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An element a in a ring R has a gs-Drazin inverse if there exists b ∈ comm 2 (a) such that b = b 2 a, a − ab ∈ R qnil. For any s ∈ C(R), we completely determine when a generalized matrix A ∈ K s (R) over a local ring R has a gs-Drazin inverse.
Classification :
5A09, 32A65, 16E50
Keywords: 2 × 2 matrix, generalized matrix, gs-Drazin inverse, local ring
Keywords: 2 × 2 matrix, generalized matrix, gs-Drazin inverse, local ring
Huanyın Chen; Mete Burak Calci. Gs-Drazin inverses of generalized matrices over local rings. Filomat, Tome 36 (2022) no. 6, p. 1991 . doi: 10.2298/FIL2206991C
@article{10_2298_FIL2206991C,
author = {Huany{\i}n Chen and Mete Burak Calci},
title = {Gs-Drazin inverses of generalized matrices over local rings},
journal = {Filomat},
pages = {1991 },
year = {2022},
volume = {36},
number = {6},
doi = {10.2298/FIL2206991C},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206991C/}
}
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