TY - JOUR
AU - Caraquil, Joey A.
AU - Baldado, Michael Jr. Patula
PY - 2022/07/31
Y2 - 2023/09/25
TI - Some Properties of g-Groups
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 15
IS - 3
SE -
DO - 10.29020/nybg.ejpam.v15i3.4396
UR - https://ejpam.com/index.php/ejpam/article/view/4396
SP - 887-896
AB - <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>
ER -