AN EXPLORATION OF ANTIMULTIGROUP EXTENSIONS

Authors

  • Omotosho Adewumi Adeyemi Federal University Dutsinma
  • Chinedu Peter Federal University Dutsinma
  • Funmilola Balogun Federal University Dutsinma

DOI:

https://doi.org/10.33003/fjs-2024-0805-2719

Keywords:

Multiset, Multigroup, Group, Antimultigroup

Abstract

This research paper pioneers an innovative extensions of antimultigroup theory by seemingly integrating the concept of cuts and comultiset, thereby revolutionizing the field. Notably, we demonstrate that the root sets of antimultigroup sums and differences are subgroups, uncovering a profound connection. Furthermore, we establish that if  is a complete sub-antimultigroup of  such that all the counts in  are factors of their corresponding counts in .  Finally, we prove that the cuts of antimultigroup unions and intersections also form subgroups, further enriching our understanding of these complex structures.

Author Biographies

Chinedu Peter, Federal University Dutsinma

  • I'm a lecturer with a doctorate in the department of mathematics

Funmilola Balogun, Federal University Dutsinma

I am a lecturer with a doctorate in the department of mathematics

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Published

2024-10-29

How to Cite

Adeyemi, O. A., Peter, C., & Balogun, F. (2024). AN EXPLORATION OF ANTIMULTIGROUP EXTENSIONS. FUDMA JOURNAL OF SCIENCES, 8(5), 269 - 273. https://doi.org/10.33003/fjs-2024-0805-2719

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