TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover

Journal of Interdisciplinary Mathematics

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502
CiteScore 2025: 1.9 (Q2)

CiteScore 2025: 1.9 (Q2)

Powered by:Powered by

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Taru Online First Current IssueSpecial IssuesBrowse all Issues
Journal of Interdisciplinary Mathematics
Open Access Research Article

Soc-T-ABSO submodules and related concepts

* ,

* Corresponding author · click or hover a name for details

pp. 1077–1088Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1607XML
Published Online:
03 Aug 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1607
Pages:
1077–1088

Abstract

In this paper, we present the idea of Soc-T-ABSO submodule observations and examine how-T-ABSO submodule and Socle relate to one another in terms of qualities and characteristics. Submodules of several kinds are have now been introduced. It is possible to develop new concepts based on Soc-T-ABSO submodules using the implications of this work. 

Keywords

T-ABSO submodulesSoc-T-ABSO submodulesSoc-T-ABSO idealSocle of module

Subject Classifications

Primary 16D10Secondary 16D80

Acknowledgements

FRH-P906H63

References

[1] A.A. Harfash, 2-Absorbing submodules(Modules)and Some of Their Generalizations, M. Sc. Thesis, University of Baghdad, (2015). 
[2] A. Badwi, 2-Absorbing Ideals of Commutative Rings, Bull. Austral. Math. Soc, 75, 417-429 (2007). 
[3] A.Y. Darani, F. Soheilnia, 2-Absorbing and Weakly 2-AbsorbingSubmodules, Thai Journal of Mathematics, 9(3), 577-584 (2011). 
[4] C.P. Lu, Prime Submodules of Modules, Commentarii Mathematici, Universitatis Sancti Pauli, 33(1), 61-69 (1984). 
[5] F. Kash, Modules and Rings London. Mathematical Society Monograph, 17, New York, Academic Press, (1982). 
[6] H.A. Shahad, N.S. Al-Muthafar, On essential-prime sub-modules, Journal of Discrete Mathematical Sciences and Cryptography, 24(7), 1973-1977 (2021). https://doi.org/10.1080/09720529.2021.1968572.
[7] M.H. Abdul-Razak, Quasi-Prime Modules and Quasi-Prime Submodules, M. Sc. Thesis University of Baghdad, 1999. 
[8] M. Behboodi, H. Koohi, Weakly Prime Modules, Vietnam Journal Math, 32(2), 184-195 (2004). 
[9] O.A. Abdulla, H.K. Mohammadali, Pseudo Quasi-2-Absorbing submodules andSome Related Concepts, Ibn-Al-Haitham Journal for pure and Applied Science, 32(2), 114-122 (2019). 
[10] T. Sahoo, M.D. Shetty, On completely 2-absorbing ideals of N-groups, Journal of Discrete Mathematical Sciences and Cryptography, 24(2), 541-556 (2021). https://doi.org/10.1080/09720529.2021.1892268.
[11] W.A. Ali, N.S. Al Mothafar, Small prime and quasi-small prime modules, Journal of Discrete Mathematical Sciences and Cryptography, 24(7), 1967-1971 (2021). https://doi.org/10.1080/09720529.2021.1961889.
[12] A.D. Diallo, P.C. Diop, Modules whose t-closed submodules are their homomorphic images,  Journal of Discrete Mathematical Sciences and Cryptography,  23(6), 1297-1314 (2020). https://doi.org/10.1080/09720529.2020.1815339.
[13] S.M. Seyed Joula, A.R. Gilani, E. Arfa, Fuzzy BCK-module on t-norm, Journal of Information and Optimization Sciences, 41(4), 1163-1174 (2020). https://doi.org/10.1080/02522667.2020.1781390.
[14] A. Alsinai, H.M.U. Rehman, Y. Manzoor, M. Cancan, Z. Taş, M.R. Farahani, Sharp upper bounds on forgotten and SK indices of cactus graph, Journal of Discrete Mathematical Sciences and Cryptography,  1-22 (2022). https://doi.org/10.1080/09720529.2022.2027605.

Views: 229Downloads: 87Citations: 0