You are here

Home » Content

Beta G-Star Relation on Modules

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2018

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this work, we say submodules X and Y of M are  g equivalence, X  gY , if and only if Y + K = M for every K E M such that X + K = M and X + T = M for every T E M such that Y +T = M. It is proved that the  g relation is an equivalent relation and has good behaviour with respect to addition of submodules and homomorphisms.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-beta-g-star-relation-modules.pdf
  • 1
238
243
  • English

JEL Codes:

REFERENCES

References: 

[1] Frank W. Anderson and Kent R. Fuller. Rings and Categories of Modules (Graduate
Texts in Mathematics). Springer, 1998.
[2] G. F. Birkenmeier, F. T. Mutlu, C. Nebiyev, N. Sokmez, and A. Tercan. Goldie*-
supplemented modules. Glasgow Mathematical Journal, 52A:41{52, 2010.
[3] F. C allalp and U. Tekir. Degismeli Halkalar ve Moduller. Birsen Yaynevi, _Istanbul,
2009.
[4] John Clark, Christian Lomp, N. Vanaja, and Robert Wisbauer. Lifting Modules: Supplements
and Projectivity in Module Theory (Frontiers in Mathematics). Birkhauser,
Basel, 2006 edition, 8 2006.
[5] F. Kasch. Modules and Rings. Academic Press, New York, 1982.
[6] B. Kosar, C. Nebiyev, and N. Sokmez. G-supplemented modules. Ukrainian Mathematical
Journal, 67(6):861{864, 2015.
[7] C. Nebiyev and H. H.  Okten. Beta star relation on lattices. Miskolc Mathematical
Notes, 2017. (accepted).
[8] C. Nebiyev and H. H.  Okten. Weakly g-supplemented modules. European Journal of
Pure and Applied Mathematics, 10(3):521{528, 2017.
[9] N. Sokmez, B. Kosar, and C. Nebiyev. Genellestirilmis kucuk alt moduller. In XIII.
Ulusal Matematik Sempozyumu, Kayseri, 2010. Erciyes Universitesi.
[10] R. Wisbauer. Foundations of Module and Ring Theory. Gordon and Breach, Philadelphia,
1991.
[11] D. X. Zhou and X. R. Zhang. Small-essential submodules and morita duality. Southeast
Asian Bulletin of Mathematics, 35:1051{1062, 2011.

Thank you for copying data from http://www.arastirmax.com