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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Nakayama algebras and graded trees


Authors: B. Rohnes and S. O. Smalø
Journal: Trans. Amer. Math. Soc. 279 (1983), 249-256
MSC: Primary 16A64; Secondary 16A46
DOI: https://doi.org/10.1090/S0002-9947-1983-0704614-5
MathSciNet review: 704614
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Abstract: Let $ k$ be an algebraically closed field. We show that if $ T$ is a finite tree, then there is a grading $ g$ on $ T$ such that $ (T,g)$ is a representation finite graded tree, and such that the corresponding simply connected $ k$-algebra is a Nakayama algebra (i.e. generalized uniserial algebra).


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DOI: https://doi.org/10.1090/S0002-9947-1983-0704614-5
Keywords: Simply connected algebra, module, graded tree, Kupisch series
Article copyright: © Copyright 1983 American Mathematical Society