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Almost Projective Modules Over Non-Hereditary Algebras

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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.

Original languageEnglish
Title of host publicationAlgebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021
EditorsA. Leroy, S.K. Jain
PublisherAmerican Mathematical Society
Pages167-177
Number of pages11
ISBN (Print)9781470468590
DOIs
Publication statusPublished - 2023
EventVirtual 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
Duration: 8 Jul 20218 Jul 2021

Publication series

NameContemporary Mathematics
Volume785
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceVirtual 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
CityVirtual, Online
Period8/07/218/07/21

Keywords

  • almost projective module
  • projective cover
  • Projective module
  • representation type

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