论文信息 - Does the Frobenius endomorphism always generate a direct summand in the endomorphism monoids of fields of prime characteristic?

Does the Frobenius endomorphism always generate a direct summand in the endomorphism monoids of fields of prime characteristic?

Let r be a given prime. Then a monoid M is the endomorphism monoid of a field of characteristic r if and only if either M is a finite cyclic group or M is a right cancellative monoid and M has an element of infinite order in its centre. The main lemma is the technical base of the present and other papers.

Péter Pröhle

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