@article{Caraquil_Baldado_2022, title={Some Properties of g-Groups}, volume={15}, url={https://www.ejpam.com/index.php/ejpam/article/view/4396}, DOI={10.29020/nybg.ejpam.v15i3.4396}, abstractNote={<p>A nonempty set G is a g-group [with respect to a binary operation ∗] if it satisfies the following properties: (g1) a ∗ (b ∗ c) = (a ∗ b) ∗ c for all a, b, c ∈ G; (g2) for each a ∈ G, there exists an element e ∈ G such that a ∗ e = a = e ∗ a (e is called an identity element of a); and, (g3) for each a ∈ G, there exists an element b ∈ G such that a ∗ b = e = b ∗ a for some identity element e<br />of a. In this study, we gave some important properties of g-subgroups, homomorphism of g-groups, and<br />the zero element. We also presented a couple of ways to construct g-groups and g-subgroups.</p>}, number={3}, journal={European Journal of Pure and Applied Mathematics}, author={Caraquil, Joey A. and Baldado, Michael Jr. Patula}, year={2022}, month={Jul.}, pages={887–896} }