👉 In mathematics, an algebraic structure is said to be irreducible if it cannot be expressed as a product of simpler structures. This means that any two elements in the structure must have different powers, and no element can be obtained from another by multiplying on both sides of the equation. For example, the set of all positive integers modulo 6 forms an algebraic structure known as the group Z/6Z under addition. It is not possible to express this group as a product of simpler structures like
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