AN EXPLORATION OF ANTIMULTIGROUP EXTENSIONS

Authors

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

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

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

Funmilola Balogun

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

Dimensions

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Published

29-10-2024

How to Cite

AN EXPLORATION OF ANTIMULTIGROUP EXTENSIONS. (2024). FUDMA JOURNAL OF SCIENCES, 8(5), 269-273. https://doi.org/10.33003/fjs-2024-0805-2719

Issue

Vol. 8 No. 5 (2024): FUDMA Journal of Sciences - Vol. 8 No. 5

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

AN EXPLORATION OF ANTIMULTIGROUP EXTENSIONS. (2024). FUDMA JOURNAL OF SCIENCES, 8(5), 269-273. https://doi.org/10.33003/fjs-2024-0805-2719

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