Right Feeble Groups
Hiba F. Fayoumi · Hee Sik Kim
Jan 2023 · SuperHyperAlgebra Ibhuku elingu-6 · Infinite Study
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Right feeble groups are defined as groupoids (X, ∗) such that (i) x, y ∈ X implies the existence of a, b ∈ X such that a∗x = y and b∗y = x. Furthermore, (ii) if x, y, z ∈ X then there is an element w ∈ X such that x∗(y∗z) = w∗z. These groupoids have a “remnant” group structure, which includes many other groupoids. In this paper, we investigate some properties of these groupoids. Enough examples are supplied to support the argument that they form a suitable class for systematic investigation.
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