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Al-Bahir Journal for Engineering and Pure Sciences

Abstract

The purpose of this paper is to investigate characterizations of weakly pseudo semi-2-absorbing submodules in terms of some types of modules. We provide characterizations for the class of multiplication modules with the help of some types of modules such as faithful, non-singular, Z-regular, and projective modules. Furthermore, we add some conditions to proof the residual of a weakly pseudo semi-2-absorbing submodule is a weakly pseudo semi-2-absorbing ideal.

References

1] Darani AY, Soheilnia F. 2-absorbing and weakly 2-absorbing submodules. Thai J Math 2011;9(3):577e84.

[2] Hadi IMAH, Abdurehman A. Semi-2-Absorbing submodules and semi-2-absorbing modules. Int J Adv Sci Tech Res 2015: 521e30.

[3] Pseudo 2-absorbing and pseudo semi-2-absorbing submodules. In: Mohammadali HK, Abdalla OA, editors. AIP conference proceedings. AIP Publishing; 2019.

[4] Taha OH, Salih MA. Weakly pseudo semi-2-absorbing submodule. Int J Math Comput Sci 2024;19(4):927e32.

[5] Anderson D. Some remarks on multiplication ideals, II. Commun Algebra 2000;28(5):2577e83.

[6] Wisbauer R. Foundations of module and ring theory. Routledge; 2018.

[7] Faith C. Algebra: rings, modules and categories I. Springer Science & Business Media; 201

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