International Journal of Mathematics Trends and Technology
Volume 58 | Number 2 | Year 2018 | Article Id. IJMTT-V58P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P511
This study presented a kind of characterization of multiplication group of a quasi group (Q,∘) and of a loop (Q,⋅) that are isostrophic, that is some parastrophes of quasigroup (Q,∘) with loops (Q,⋅). In particular, the middle multiplication groups of a quasi group (Q,⋅) and of loops (Q,∘) that are isostrophes (Q,∘) were studied. Relationship of middle multiplication groups of a quasi group (Q,⋅) to right(left) multiplication group of a loop (Q,∘) isostrophes were show to be coincided and their multiplication groups were show to be normal subgroups, using the concept of middle translation.
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Benard Osoba, Oyebo T. Y, "On Relationship of Multiplication Groups and Isostrophic Quasigroups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 2, pp. 80-84, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P511
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