Feebly lifting modules

Document Type : Special Issue: First Joint IIIMT-Algebra Forum Conference 2023

Authors

1 Department of Mathematics and Science Education, Faculty of Education, Karamanoğlu Mehmetbey University, Karaman, Turkey

2 Department of Mathematics, Faculty of Sciences and Arts, Sinop University, Sinop, Turkey

Abstract

In this article feebly lifting modules are defined. A module $W$ is called feebly lifting provided, for each fully idempotent $N\leq W$ there exists a direct summand $D\leq W$ providing $D\leq N$ and $\frac{N}{D}\ll \frac{W}{D}$. The basic properties  and ring characterizations of these modules are investigated.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 5 - Serial Number 30
Special Issue: First Joint IIIMT-Algebra Forum Conference 2023
December 2024
Pages 65-73

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History

  • Receive Date: 30 April 2024
  • Revise Date: 07 November 2024
  • Accept Date: 30 December 2024

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