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- W4288949555 abstract "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 eof a. In this study, we gave some important properties of g-subgroups, homomorphism of g-groups, andthe zero element. We also presented a couple of ways to construct g-groups and g-subgroups." @default.
- W4288949555 created "2022-07-31" @default.
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- W4288949555 date "2022-07-31" @default.
- W4288949555 modified "2023-10-14" @default.
- W4288949555 title "Some Properties of g-Groups" @default.
- W4288949555 doi "https://doi.org/10.29020/nybg.ejpam.v15i3.4396" @default.
- W4288949555 hasPublicationYear "2022" @default.
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