TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

On graded S-2-absorbing primary submodules

* ,

* Corresponding author · click or hover a name for details

pp. 641–652Vol. 28Issue 3April 2025DOI: 10.47974/JDMSC-1814 Crossmark XML
Received:
08 Nov 2022
Accepted:
07 Feb 2023
Published Online:
11 Apr 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1814
Pages:
641–652

Abstract

In this paper, we introduce the concept of gr-S-2A-PS as a generalization of gr-2A-PS. Some properties of this class and their homogeneous components are investigated.

Keywords

Subject Classifications

13A0216W50

References

[1] S.E. Atani, “On graded prime submodules,” Chiang Mai. J. Sci., vol. 33, no. 1, pp. 3-7 (2006). 
[2] K. Al-Zoubi, R. Abu-Dawwas and S. \c{C}eken, “On graded 2-absorbing and graded weakly 2-absorbing ideals,” Hacet. J. Math. Stat., vol. 48, no. 3, pp. 724-731 (2019).  
[3] K. Al-Zoubi and R. Abu-Dawwas, “On graded 2-absorbing and weakly graded 2-absorbing submodules,” J. Math. Sci. Adv. Appl., vol. 28, no. 1, pp. 45-60 (2014).
[4] M. Refai and K. Al-Zoubi, “On graded primary ideals,” Turk. J. Math., vol. 28, no. 3, pp. 217-229 (2004).
[5] K. Al-Zoubi and N. sharafat, “On graded 2-absorbing primary and graded weakly 2-absorbing primary ideals,” J. Korean Math. Soc., vol. 54, no. 2, pp. 675-684 (2017).
[6] E. Y. Celikel, “On graded 2-absorbing primary submodules,” Int. J. Pure Appl. Math.,  vol. 109, no. 4, pp. 869-879 (2016).  
[7] R. Hazrat, “Graded Rings and Graded Grothendieck Groups,” Cambridge University Press, Cambridge (2016).
[8] C. Nastasescu, F. Van Oystaeyen, “Graded and filtered rings and modules,” Lecture notes in mathematics 758, Berlin-New York: Springer-Verlag (1982).
[9] C. Nastasescu and F. Van Oystaeyen, “Graded Ring Theory,” Mathematical Library 28, North Holand, Amsterdam (1982).
[10] C. Nastasescu and F. Van Oystaeyen, “Methods of Graded Rings,” LNM 1836. Berlin-Heidelberg: Springer-Verlag (2004).
[11] O. M. Al-Ragab and N. S. Al-Mothafar, “Radical semiprime submodules,” J. Discrete Math. Sci. Cryptogr., vol. 24, no. 7, pp. 1895-1899 (2021).
[12] K. H. Oral, U. Tekir and A. G. Agargun, “On graded prime and primary submodules,” Turk. J. Math., vol. 35, no. 2, pp. 159-167 (2011).  
[13] H. A.  Ramadhan and N. S. Al-Mothafar, “Almost small semiprime submodules,” J. Discrete Math. Sci. Cryptogr., vol. 24, no. 7, pp. 1901-1905 (2021). 
[14] M. Hamoda and K. Al-Zoubi, “On graded S-comultiplication modules,” Bol.  Soc.  Paran.  Mat., vol. 42, pp. 1-11 (2024).

Views: 207Downloads: 56Citations: 1