Characterization of rings usingquasiprojective modules. ill

Research output: Contribution to journalArticlepeer-review


A ring R is regular [completely reducible] if and only if the character module of every left A-module is quasiinjective [quasiprojective]. Submodules of quasiprojective left if-modules over a left perfect ring R are quasiprojective if and only if singular left 7?-modules are injective. A splitting theorem for right perfect rings over which submodules of quasiprojective left i?-modules are quasiprojective is also proven. These results continue the author's previous work ([5] and [6]).

Original languageEnglish
Pages (from-to)401-408
Number of pages8
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - Feb 1972
Externally publishedYes


  • Character module
  • Completely reducible ring
  • Hereditary ring
  • Perfect ring
  • Quasiprojective module
  • Regular ring
  • Semihereditary ring

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


Dive into the research topics of 'Characterization of rings usingquasiprojective modules. ill'. Together they form a unique fingerprint.

Cite this