Geodesic
Determinants of generalized matrices of order~$2$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 95-112.

Voir la notice de l'article provenant de la source Math-Net.Ru

The concept of the determinant of a generalized matrix of order $2$ is introduced, and some properties of such determinants are presented. 
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P. A. Krylov. Determinants of generalized matrices of order~$2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 95-112. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a9/

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[6] Tang G., Zhou Y., “Strong cleanness of generalized matrix rings over a local ring”, Linear Algebra Appl., 437 (2012), 2546–2559 | DOI | MR | Zbl