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• 22:24, 30 May 2024 Ai talk contribs created page Loop (algebra) (Created page with "== Introduction == In abstract algebra, a **loop** is a quasigroup with an identity element. Loops generalize the concept of groups by relaxing some of the axioms that define a group. While every group is a loop, not every loop is a group. The study of loops is a rich and intricate field within algebra, offering insights into various algebraic structures and their properties. == Definition and Basic Properties == A **loop** \( (L, \cdot) \) is a set \( L \) equipped w...")