TY - JOUR
AU - Elijah E. Edeghagba
AU - Umar F. Muhammad
PY - 2022/05/28
Y2 - 2022/12/06
TI - An Introduction to Omega-Subgroup
JF - International Journal of Mathematical Sciences and Optimization: Theory and Applications
JA - IJMSO
VL - 8
IS - 1
SE - Articles
DO - 10.6084/m9.figshare.20695609
UR - http://ijmso.unilag.edu.ng/article/view/1536
AB - In the language of Omega-groupoid we introduce Omega-subgroup, where a groupoid is an algebraic structure endow with one binary operation. Omega-subgroup is defined, as a generalization of the classical subgroup. In this case it was shown that the properties of Omega-groups are inherent in their Omega-subgroups. We then introduce and define the notions: center of an Omega-group, centralizers and normalizers of an Omega-subset of an Omega-group. Furthermore we investigate and prove some of the properties of these notions as in the case of classical group theory.
ER -