Weak Pseudo Quasi-2- Absorbing Submodules And Related concepts
DOI:
https://doi.org/10.29304/jqcm.2020.12.2.699Keywords:
: Weakly quasi-2-Absorbing submodules, Wpq-2-Absorbing submodules, socel of modules, multiplication modules, Z-regular modules, non-singular modulesAbstract
In this paper R stand for commutative ring with identity ,and E is a unitary left R-module. The concept of weakly quasi-2-Absorbing submodule has been generalized in this research to a Wpq-2-Absorbing submodules ,where a paper submodule H of an R-module E is a Wpq-2-Absorbiming if 0≠abcyϵH ,for a,b,cϵR, yϵE , implies that either abyϵH+Soc(E) or acyϵH+Soc(E) or bcyϵH+Soc(E) .Several characterizations ,examples and basic properties of this concept are introduced .Moreover characterizations of Wpq-2-Absorbing submodules in some types of modules are given .Keywords: Weakly quasi-2-Absorbing submodules, Wpq-2-Absorbing submodules, socel of modules ,multiplication modules ,Z-regular modules ,non-singular modules.
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References
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[2]A. E. Barnard ,"Multiplication Modules, Journal of Algebra", 7(1981), 174-178 .
[3]A. Y. Darani and F. E. Soherlnia," 2-Absorbing and Weakly -2-Absorbing submodules ", Tahi Journal of Math. 9(2011), 577-584.
[4]K. D. Goodeneal , " Rings Theory" , Marcel Dakker, Inc. New York and Basel, 1976.
[5]K. M, Haibat and H, A .Khalaf ," Weakly Quasi-2-Absorbing submodules" , Tikrit Journal of pure science 23(7)(2018), 101-104
[6]K. M., Haibat and H. A, Khalaf , "Weakly Semi-2-Absorbing submodules ", Journal of Anbar for Pure Science ,12(2),(2018), 67-62.
[7]H. H, Nuha , "The Radical of Modules ", M. Sc. Thesis ,University of Baghdad , 1996 .
[8] P. F. Smith ,"Some Remarks on Multiplication Modules", Arch. Math .50(1988), 223-235.
[9]A. H. Wissam and K.M .Haibat ,"WES-2-Absorbing Submodules and WEQ-2-Abssorbing Submodules "" ,Tikrit Journal of pure Science ,24(2), (2019), 104-108 .
[10]Z. J. Zelmanowit , "Regular Modules ", Trans .Amer Math .Soc. 163, 341-355.
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Published
2020-07-10
How to Cite
Mohammadali, H. K., & Radeef, S. E. (2020). Weak Pseudo Quasi-2- Absorbing Submodules And Related concepts. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(2), Math Page 87– 96. https://doi.org/10.29304/jqcm.2020.12.2.699
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Math Articles
