Locally artinian supplemented modules

Document Type : Research Paper

Authors

1 Department of mathematics, Faculty of Art and Science, Amasya University, Amasya, Turkey.

2 Institute of Science, Amasya University, Amasya, Turkey.

Abstract

In this paper, we introduce notions of RLA-local modules and locally artinian supplemented modules which are proper generalizations as notions of strongly local modules and ss-supplemented modules, respectively and we study some properties of these modules. In particular, we give a characterization of semiperfect rings and left perfect rings.
 

Keywords

References

[1] J. Clark, C. Lomp, N. Vanaja and R. Wisbauer, Lifting Modules: Supplements and Projectivity in Module Theory, Birkhauser Verlag, Basel, Switzerland, 2006.
[2] F. Kasch, Modules and Rings, Academic Press, London, 1982.
[3] E. Kaynar, H. Çalışıcı and E. Türkmen, SS-supplemented modules, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69 No. 1 (2020) 473-485.
[4] D. W. Sharpe and P. Vamos, Injective Modules, Cambridge Tracts in Mathematics and Mathematical Physics, Camdridge, 1972.
[5] R. Wisbauer, Foundations of Modules and Rings, Gordon and Breach Science Publishers, Reading, 1991.
[6] D. X. Zhou and X. R. Zhang, Small-essential submodules and morita duality, Southeast Asian Bull. Math., 35 No. 6 (2011) 1051-1062.
[7] H. Zöschinger, Moduln, die in jeder Erweiterung ein komplement haben, Math. Scand., 35 No. 2 (1974) 267-287.
Algebraic Structures and Their Applications

Articles in Press, Corrected Proof
Available Online from 14 November 2023

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