Journal of Lanzhou University of Technology ›› 2023, Vol. 49 ›› Issue (6): 169-172.

• Scientific • Previous Articles    

Generalized Rickart modules

WANG Yong-duo, REN Yu-fang   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2022-07-05 Online:2023-12-28 Published:2024-01-05

Abstract: The concept of generalized Rickart modules is introduced in this paper. Then the relationships between generalized Rickart modules, Rickart modules, and GSIP modules are studied. Finally, a new characterization of precisely semisimple artinian rings and V-rings is given.

Key words: generalized Rickart modules, Rickart modules, GSIP modules, semisimple artinian ring, V-ring

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