Journal of Lanzhou University of Technology ›› 2021, Vol. 47 ›› Issue (2): 151-155.

• Scientific • Previous Articles     Next Articles

Small R-projective modules

WANG Yong-duo, LI Xia   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2019-12-19 Online:2021-04-28 Published:2021-05-11

Abstract: The concepts of small N-projective modules and small R-projective modules are introduced, basic properties of these modules are studied. It is proved that a ring R is a semiprimitive ring if and only if every right R-module is a small R-projective module.

Key words: small N-projective modules, small R-projective modules, semiprimitive rings, semiperfect rings

CLC Number: