The preprojective partition for hereditary artin algebras

Dan Zacharia

doi:10.1090/S0002-9947-1982-0670936-9

The preprojective partition for hereditary artin algebras

Dan Zacharia

Research output: Contribution to journal › Article

9 Scopus citations

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.

Original language	English (US)
Pages (from-to)	327-343
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	274
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1982-0670936-9
State	Published - 1982
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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Zacharia, D. (1982). The preprojective partition for hereditary artin algebras. Transactions of the American Mathematical Society, 274(1), 327-343. https://doi.org/10.1090/S0002-9947-1982-0670936-9

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