Euclid's Lemma shows that in the integers irreducible elements are also prime elements.
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An irreducible element in is either an irreducible element in or an irreducible primitive polynomial.
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An irreducible element in is either an irreducible element in or an irreducible primitive polynomial.
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In general, an irreducible element is primal if and only if it is a prime element.
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This essentially means that every non-zero non-unit can be written uniquely as a product of irreducible elements.
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The irreducible elements in this decomposition are the finite simple groups plus this three-element semigroup, and its subsemigroups.
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In a unique factorization domain ( or more generally, a GCD domain ), an irreducible element is a prime element.
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This meta-analysis additionally introduced the concept of the basic, irreducible elements of emotional life as dimensions such as approach and avoidance.
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Yet there is always that ambiguous, irreducible element hovering on the periphery, " threatening to dwarf our tiny, ordered, known world ."
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Where the " e "'s are non-negative integers and the " p i " are irreducible elements of that are not associates of.
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