Back Endomorfisme de Frobenius Catalan Frobeniův endomorfismus Czech Frobeniushomomorphismus German Endomorfismo de Frobenius Spanish Endomorphisme de Frobenius French הומומורפיזם פרובניוס HE Endomorfismo di Frobenius Italian フロベニウス自己準同型 Japanese 프로베니우스 사상 Korean Frobenius-endomorfisme Dutch
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In commutative algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with prime characteristic p, an important class that includes finite fields. The endomorphism maps every element to its p-th power. In certain contexts it is an automorphism, but this is not true in general.