On Weak Projection Invariant Extending Modules

Authors

  • Yeliz Kara Department of Mathematics, Bursa Uludağ University, Turkey

DOI:

https://doi.org/10.7546/CRABS.2022.06.01

Keywords:

extending module, projection invariant submodule, exchange property

Abstract

We introduce the notion of weak π-extending modules which is a proper generalization of π-extending and weak CS-modules. Several characterizations and connections between weak π-extending modules and related concepts are obtained. Direct sums and direct summand properties are also provided. Moreover, we investigate when the former class has an indecomposable decomposition and exchange properties.

Author Biography

Yeliz Kara, Department of Mathematics, Bursa Uludağ University, Turkey

Mailing Address:
Department of Mathematics,
Bursa Uludağ University
16059 Bursa, Turkey

E-mail: yelizkara@uludag.edu.tr

 

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Published

30-06-2022

How to Cite

[1]
Y. Kara, “On Weak Projection Invariant Extending Modules”, C. R. Acad. Bulg. Sci. , vol. 75, no. 6, pp. 785–794, Jun. 2022.

Issue

Section

Mathematics