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Square-free




Square-free elements may be also characterized using their prime decomposition. The unique factorization property means that a non-zero non-unit ''r'' can be represented as a product of Prime Element s
:r=p_1p_2\cdots p_n
Then ''r'' is square-free if and only if the primes ''pi'' are pairwise Non-associated .

Common examples of square-free elements include Square-free Integer s and Square-free Polynomial s.