Geodesic
Characterizations of right rejective chains
Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 557-570

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DOI

In this paper, we give characterizations of the category of finitely generated projective modules having a right rejective chain. By focusing on the characterizations, we give sufficient conditions for right rejective chains to be total right rejective chains. Moreover, we prove that Nakayama algebras with heredity ideals, locally hereditary algebras and algebras of global dimension at most two satisfy the sufficient conditions. As an application, we show that these algebras are right-strongly quasi-hereditary algebras.
DOI : 10.4153/S0008439521000540
Mots-clés : Right rejective subcategories, coreflective subcategories, right-strongly quasi-hereditary algebras, neat algebras 
Tsukamoto, Mayu. Characterizations of right rejective chains. Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 557-570. doi: 10.4153/S0008439521000540
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     title = {Characterizations of right rejective chains},
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     doi = {10.4153/S0008439521000540},
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