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

Published online by Cambridge University Press:  17 April 2009

Péter Pröhle
Péter Pröhle
Affiliation:
Department of Algebra and Number Theory, L. Eötvös University, Budapest, Hungary.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 3 , December 1984 , pp. 335 - 356
Copyright
Copyright © Australian Mathematical Society 1984

References

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