On $\mathbf{(n,m)-}$Groups for $\mathbf{n>2m}$

Authors

  • Radoslav Galić Faculty of Electrical Engineering, University of Osijek, Osijek, Croatia

DOI:

https://doi.org/10.5644/SJM.01.2.03

Keywords:

{$(n,m)-$group, $\{1,n-m 1\}-$neutral operation of the $(n,m)-$groupoid

Abstract

In this article a theorem about a $(2m,m)-$group of Čupona-Dimovski is generalized.

 

2000 Mathematics Subject Classification. Primary: 20N15.

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References

G. ´Čupona, Vector valued semigroups, Semigroup Forum 26 (1983), 65–74.

G. ´Čupona and D. Dimovski, On a class of vector valued groups, Proceedings of the Conf. ”Algebra and Logic”, Zagreb 1984, 29–37.

G. ´Čupona, N. Celakoski, S. Markovski and D. Dimovski, ˇ Vector valued groupoids, semigroups and groups, in: Vector valued semigroups and groups, (B. Popov, G. Ćupona and N. Celakoski, eds.), Skopje 1988, 1–78.

R. Gali´c and A. Kati´c, On neutral operations of (n, m)−groups, 2004, notes.

J. Uˇsan, Neutral operations of n−groupoids, (Russian), Rev. of Research, Fac. of Sci. Univ. of Novi Sad, Math. Ser., 18 (2) (1988), 117–126.

J. Uˇsan, Neutral operations of (n, m)−groupoids, (Russian), Rev. of Research, Fac. of Sci. Univ. of Novi Sad, Math. Ser., 19 (2) (1989), 125–137.

J. Uˇsan, Note on (n, m)−groups, Math. Moravica, 3 (1999), 127–139.

J. Uˇsan, n-groups in the light of the neutral operations, Math. Moravica, Special Vol., (2003), monograph.

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Published

12.06.2024

How to Cite

Galić, R. (2024). On $\mathbf{(n,m)-}$Groups for $\mathbf{n>2m}$. Sarajevo Journal of Mathematics, 1(2), 171–174. https://doi.org/10.5644/SJM.01.2.03

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Articles