Almost Projective Modules Over Non-Hereditary Algebras

Kaynarca F., D’Este G., Tütüncü D. K.

Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021, Virtual, Online, 08 July 2021, vol.785, pp.167-177 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 785
  • Doi Number: 10.1090/conm/785/15784
  • City: Virtual, Online
  • Page Numbers: pp.167-177
  • Keywords: almost projective module, projective cover, Projective module, representation type
  • Hacettepe University Affiliated: Yes

Abstract

We investigate almost projective modules over non-hereditary al- gebras. The proper submodules of these modules have a projective type behavior. We prove that there exists a non-hereditary algebra such that the proper submodules of their almost projective modules are actually projective. We also show that an algebra of finite representation type and its opposite algebra do not always have the same number of indecomposable almost pro- jective modules.