On endomorphism algebras with small homological dimensions

Mark Kleiner, Andrzej Skowroñski, Dan Zacharia

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We investigate the endomorphism algebras Γ of finite dimensional modules having the property that every indecomposable finite dimensional G-module is of projective dimension at most one or injective dimension at most one. In particular, we describe all matrix algebras [A 0 A A] with this homological property.

Original languageEnglish (US)
Pages (from-to)621-648
Number of pages28
JournalJournal of the Mathematical Society of Japan
Volume54
Issue number3
DOIs
StatePublished - Jan 1 2002

Keywords

  • Endomorphism algebra
  • Projective and injective dimension
  • Triangular matrix algebra

ASJC Scopus subject areas

  • Mathematics(all)

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