A NOTE ON THE CONNECTIONS AND CONTRASTS OF SOME SELECTED RESULTS IN GROUPS AND MULTIGROUPS

Authors

  • Pokalas P. Tal Department of Mathematics and Statistics, Federal University of Kashere, Gombe State Author
  • Mahmud Shamsuddeen Department of Mathematics and Statistics, Federal University of Kashere, Gombe State Author
  • Moses Mbah Department of Mathematics, Federal University, Lafiya, Nasarawa State Author

Keywords:

homomorphisms, Lagrange’s theorem, order of elements, multigroups, groups

Abstract

This study undertakes a comparative examination of some selected properties (results) of groups and multigroups with a view to discover their similarities and differences. We compare the nature of the order of elements, behaviour of elements with respect to Lagrange’s theorem and homomorphisms in both structures. 

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References

Ibrahim, A. M., Singh, D., and Singh, J. N. (2011). An Outline of Multiset Space Algebra. International Journal of Algebra, 5(31):1515–1525.

Marty, F. (1934). Sur une Generalisation de la Notion de Groupe. Huitieme Congres des Mathematiciens Scandinaves, Stockholm.

Wall, H. S. (1937). Hypergroups. American Journal of Mathematics, 59(1):77–98.

Dresher, M. and Ore, O. (1938). Theory of Multigroups. American Journal of Mathematics, 60:705–733.

Nazmul, S. K., Majumdar, P., and Samanta, S. K. (2013). On Multisets and Multigroups. Annals of Fuzzy Mathematics and Informatics, 6(3):643–656.

Tella, Y. and Daniel, S. (2013a). A Study of Group Theory in the Context of Multiset Theory. International Journal of Science and Technology, 2(8):609–615.

Tella, Y. and Daniel, S. (2013b). Symmetric Groups Under Multiset Perspective. IOSR Journal of Mathematics, 7(5):47–52.

Awolola, J. A. and Ibrahim, A. M. (2016). Some Results on Multigroups. Quasigroups and Related System, 24:169–177.

Awolola, J. A. and Ejegwa, P. A. (2017). On Some Algebraic Properties of Order of an Element of a Multigroup. Quasigroups and Related Systems, 25:21–26.

Vasishtha, A. R. (2009). Modern Algebra. First Edition. Krishna Prakashan, Mandir,Meerut India

Ejegwa, P. A and Ibrahim, M. A. (2017). Some Homomorphic Properties of Multigroups. Buletinul Academiei de Stiinte. A Republicii Moldova Matematica. Vol 1(83), pp. 67-76.

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Published

2022-03-01

How to Cite

A NOTE ON THE CONNECTIONS AND CONTRASTS OF SOME SELECTED RESULTS IN GROUPS AND MULTIGROUPS. (2022). The Journals of the Nigerian Association of Mathematical Physics, 63, 67 –70. https://nampjournals.org.ng/index.php/home/article/view/111

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