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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The preprojective partition for hereditary Artin algebras


Author: D. Zacharia
Journal: Trans. Amer. Math. Soc. 274 (1982), 327-343
MSC: Primary 16A35; Secondary 16A64
MathSciNet review: 670936
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Abstract: The purpose of this paper is to study the preprojective partition of a hereditary artin algebra. For a hereditary algebra of finite representation type, we give some numerical invariants in terms of the length of chains of irreducible maps, also in terms of the length of the maximal indecomposable module, and the orientation of the quiver of the algebra. Similar results are given for algebras stably equivalent to hereditary artin algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1982-0670936-9
PII: S 0002-9947(1982)0670936-9
Article copyright: © Copyright 1982 American Mathematical Society