Geodesic
Group inverses for matrices over a Bézout domain
The electronic journal of linear algebra, Tome 18 (2009), pp. 600-612.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Suppose R is a Bezout domain. In this paper, some necessary and sufficient conditions for the existence of the group inverse for square matrix over R are given, the conditions for the existence of the group inverse of products of matrices are studied, and the equivalent conditions for reverse order law of group inverse of product of matrices are obtained. Also the existence and the representation of the group inverse for a class $2 \times 2$ block matrices over R are studied, and some well known relative results are generalized.
Classification : 15A09
Keywords: Bezout domain, group inverse, right R-module, block matrix 
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     author = {Cao, Chongguang and Li, Juyan},
     title = {Group inverses for matrices over a {B\'ezout} domain},
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Cao, Chongguang; Li, Juyan. Group inverses for matrices over a Bézout domain. The electronic journal of linear algebra, Tome 18 (2009), pp. 600-612. http://geodesic.mathdoc.fr/item/ELA_2009__18__a13/