Geodesic
Extensions of covariantly finite subcategories revisited
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 403-415.

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Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of homotopy cartesian square in an extriangulated category is defined in this article. We prove that in an extriangulated category with enough projective objects, the extension subcategory of two covariantly finite subcategories is covariantly finite. As an application, we give a simultaneous generalization of a result of X. W. Chen (2009) and of a result of R. Gentle, G. Todorov (1996).
DOI : 10.21136/CMJ.2018.0338-17
Classification : 18E10, 18E30
Keywords: extriangulated category; covariantly finite subcategory 
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     title = {Extensions of covariantly finite subcategories revisited},
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He, Jing. Extensions of covariantly finite subcategories revisited. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 403-415. doi : 10.21136/CMJ.2018.0338-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0338-17/

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