The preprojective partition for hereditary artin algebras

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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.

Original languageEnglish (US)
Pages (from-to)327-343
Number of pages17
JournalTransactions of the American Mathematical Society
Volume274
Issue number1
DOIs
StatePublished - 1982
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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