In this paper we study right n-Nakayama algebras. Right n-Nakayama algebras appear naturally in the study of representation-finite algebras. We show that an artin algebra Λ is representation-finite if and only if Λ is right n-Nakayama for some positive integer n. We classify hereditary right n-Nakayama algebras. We also define right n-coNakayama algebras and show that an artin algebra Λ is right n-coNakayama if and only if Λ is left n-Nakayama. We then study right 2-Nakayama algebras. We show how to compute all the indecomposable modules and almost split sequences over a right 2-Nakayama algebra. We end by classifying finite dimensional right 2-Nakayama algebras in terms of their quivers with relations.

中文翻译：

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右n-中山代数及其表示

在本文中，我们研究右n-中山代数。右n-中山代数自然出现在表示有限代数的研究中。我们证明，当且仅当Λ是正确的n-中山，对于某个正整数n，artin代数Λ是表示有限的。我们将遗传权n-中山代数分类。我们还定义了右n -coNakayama代数，并证明当且仅当Λ左n时，artin代数Λ是右n -coNakayama的代数。-中山 然后，我们研究右2中山代数。我们展示了如何在右2中山代数上计算所有不可分解的模块和几乎分裂的序列。最后，根据关系的颤动对有限维右2中山代数进行分类。