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.

中文翻译：

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右排斥链的表征

在本文中，我们描述了具有右排斥链的有限生成射影模的类别。通过关注特征，我们给出了正确拒绝链是完全正确拒绝链的充分条件。此外，我们证明了具有遗传理想的中山代数、局部遗传代数和全局维数至多为两个的代数满足充分条件。作为一个应用，我们证明这些代数是右强准遗传代数。