RETHINKING MULTIGROUP: AN INTRODUCTORY ALTERNATIVE APPROACH IN SINGH’S PERSPECTIVE
DOI:
https://doi.org/10.33003/fjs-2025-0904-3552Keywords:
Cardinality, Dressed epsilon, Multigroup Operations, SinghAbstract
The analysis of multigroups—multisets defined over group structures—necessitates robust mathematical frameworks. Singh's dressed epsilon notation offers an elegant approach to this analysis by extending traditional set membership concepts to accommodate multiplicity within sets. This notation introduces a refined membership symbol that conveys additional information about the multiplicity of elements within a multiset. By employing Singh's dressed epsilon method, one can more effectively verify properties of multigroups. This approach not only streamlines the representation of multigroup characteristics but also facilitates deeper insights into their structural properties, thereby advancing the theory.
References
Nazmul, S., Majumdar, P., & Samanta, S. K. (2013). On multisets and multigroups. Ann. Fuzzy Math. Inform, 6(3), 643-656.
Singh, D. (2006). Multiset Theory: A New Paradigm of Science: an Inaugural Lecture. University Organized Lectures Committee, Ahmadu Bello University.
Singh, D., Ibrahim, A. M., Yohanna, T., & Singh, J. N. (2008). A systematization of fundamentals of multisets. Lecturas Matemticas, 29, 3348.
Peter, C., Balogun, F. and Adeyemi, O. A. (2024). An exploration of antimultigroup extensions. FUDMA Journal of Sciences, 8(5), 269-273. https://doi.org/10.33003/fjs-2024-0805-2719
Singh, D. (2006). Multiset Theory: A New Paradigm of Science: an Inaugural Lecture. University Organized Lectures Committee, Ahmadu Bello University.
Singh, D., Ibrahim, A. M., Yohanna, T., & Singh, J. N. (2008). A systematization of fundamentals of multisets. Lecturas Matemticas, 29, 3348.
Peter, C., Balogun, F. and Adeyemi, O. A. (2024). An exploration of antimultigroup extensions. FUDMA Journal of Sciences, 8(5), 269-273. https://doi.org/10.33003/fjs-2024-0805-2719
Published
2025-04-30
How to Cite
Peter, C., & Abdullahi, B. (2025). RETHINKING MULTIGROUP: AN INTRODUCTORY ALTERNATIVE APPROACH IN SINGH’S PERSPECTIVE. FUDMA JOURNAL OF SCIENCES, 9(4), 83 - 86. https://doi.org/10.33003/fjs-2025-0904-3552
Issue
Section
Research Articles
FUDMA Journal of Sciences
