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Open Access Research Article

On some features isomorphisms of (L, W)-modules

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pp. 1105–1115Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2039 Crossmark XML
Received:
17 Jul 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2039
Pages:
1105–1115

Abstract

Assume two random rings, L and W. It is well-established to be the L-module architecture within the form of an algebraic structure is a vector-based generalization. Similar to the ring organization, several previous academics have dismissed the existence of L-module homomorphisms, as well as their kinds, characteristics, and basic assumption of L-module isomorphisms. Conversely, the (L, W)-module framework is a generalization of the L-module framework. Studies and discourse on (L, W)-modules remains in the early stages, nevertheless. Thus, the definition of (L, W)-module homomorphisms, their kinds, their features, and the basic assumption for (L, W)-module isomorphisms are all presented in the current article.

Keywords

Subject Classifications

Primary 20K30Secondary 16D10

References

[1] G. Ehrlich, Fundamental Concepts of Abstract Algebra. Courier Corporation (2011).
[2] W. A. Adkins and S. H. Weintraub, Algebra: An Approach via Module Theory, vol. 136. Springer Science & Business Media (2012).
[3] P. A. Grillet, Abstract Algebra, vol. 242. Springer Science & Business Media (2007).
[4] P. B. Garrett, Abstract Algebra. CRC Press (2007).
[5] J. A. Beachy and W. D. Blair, Abstract Algebra. Waveland Press (2019).
[6] C. C. Pinter, A Book of Abstract Algebra. Courier Corporation (2010).
[7] T. Judson, Abstract Algebra: Theory and Applications. Virginia Commonwealth University Mathematics (2009).
[8] R. Lidl and G. Pilz, Applied Abstract Algebra. Springer Science & Business Media (2012).
[9] W. K. Nicholson, Introduction to Abstract Algebra. John Wiley & Sons (2012).
[10] D. A. Yuwaningsih, I. E. Wijayanti, and P. W. Prasetyo, “On (R, S)-Module Homomorphisms,” in Journal of Physics: Conference Series, vol. 1188, no. 1, p. 012114, IOP Publishing (Mar. 2019).
[11] M. Hall, T. Khumprapussorn, and S. Pianskool, “Modules and their Fully and Jointly Prime Submodules,” in International Mathematical Forum, vol. 7, no. 33, pp. 1631–1643 (2012).
[12] T. Khumprapussorn, S. Pianskool, and M. Hall, “Modules and their Fully and Jointly Prime Submodules,” in International Mathematical Forum (2012).
[13] E. A. Ugurlu, “Generalizations of r-ideals of commutative rings,” Journal of Interdisciplinary Mathematics, vol. 24, no. 8, pp. 2283–2293 (2021). [Online]. Available: https://doi.org/10.1080/09720502.2021.1876294.
[14]  D. A. Yuwaningsih and I. E. Wijayanti, “On jointly prime radicals of (R, S)-modules,” Journal of the Indonesian Mathematical Society, pp. 25–34 (2015).
[15] T. Khumprapussorn, “On the (m, n)-Jointly Prime Radical (R, S)-Submodules,” Far East Journal of Mathematical Sciences, vol. 100, no. 1, pp. 99–116 (2016).
[16] N. T. Al-Khafaji and M. G. Alshehri, “Real valued - continuous functions rings,” Journal of Interdisciplinary Mathematics, vol. 24, no. 3, pp. 687–696 (2021). [Online]. Available: https://doi.org/10.1080/09720502.2020.1860289.
[17] H. A. J. Al-Yasiri, A. A. A. Zyarah, and A. W. K. Shubbar, “Nearly prime GR-submodules of GR-modules,” Journal of Discrete Mathematical Sciences and Cryptography (2022).
[18] M. A. Naghipoor, “On prime and radical subacts of acts over semigroups,” Communications in Algebra, vol. 51, no. 5, pp. 1779–1799 (2023).

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