TY - JOUR
T1 - The preprojective partition for hereditary artin algebras
AU - Zacharia, D.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1982/11
Y1 - 1982/11
N2 - 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.
AB - 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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U2 - 10.1090/S0002-9947-1982-0670936-9
DO - 10.1090/S0002-9947-1982-0670936-9
M3 - Article
AN - SCOPUS:84968504402
VL - 274
SP - 327
EP - 343
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 1
ER -