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Weakly G-Supplemented modules

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

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AMS Codes:

Abstract (2. Language): 
In this work, we define weakly g-supplemented modules and cofinitely weak g-supplemented modules. We investigate some properties of these modules. We show that the finite sum of weakly g-supplemented modules is weakly g-supplemented, an arbitrary sum of cofinitely weak g-supplemented modules is cofinitely weak g-supplemented. We also define g-semilocal modules and give some equivalencies for weakly g-supplemented, cofinitely weak g-supplemented and g-semilocal modules.
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  • English

REFERENCES

References: 

[1] B. Kosar, C. Nebiyev, and N. Sokmez. G-supplemented modules. Ukrainian Mathematical Journal, 67(6):861-864, 2015.
[2] C. Lomp. On semilocal modules and rings. Communications in Algebra, 27(4):1921-1935, 1999.
[3] T. C. Quynh and P. H. Tin. Some properties of e-supplemented and e-lifting modules.
Vietnam Journal of Mathematics, 41(3):303-312, 2013.
[4] N. Sokmez, B. Kosar, and C. Nebiyev. Genellestirilmis kücük alt modüller, 2010. Presented at the XXIII. Ulusal Matematik Sempozyumu, Erciyes Üniversitesi, Kayseri-Tuürkiye.
[5] D. X. Zhou and X. R. Zhang. Small-essential submodules and morita duality. Southeast Asian Bulletin of Mathematics, 35(6):1051-1062, 2011.

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