Journal of Lanzhou University of Technology ›› 2021, Vol. 47 ›› Issue (3): 146-149.

• Scientific • Previous Articles     Next Articles

Virtually regular modules

WANG Yong-duo, LIU Shi-jie   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2020-01-10 Online:2021-06-28 Published:2021-07-19

Abstract: As a proper generalization of regular modules, the concept of virtually regular modules is presented in this paper. Basic properties of these modules are studied, it is shown that a ring R is a (strongly) virtually regular ring, if and only if every (projective) free R-module is a (semicompletely) virtually regular module.

Key words: regular modules, virtually regular modules, strongly virtually regular rings, virtually regular rings

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