ENDOMORPHISMS OF , , AND

ABSTRACT

We describe all endomorphisms of the (finite) Brauer semigroup, its partial analogue and the semigroup of all partitions of a -element set.

5 ACKNOWLEDGMENTS

The paper was written during the author's visit to SFB-343, Bielefeld University, whose hospitality and financial support are gratefully acknowled ged. I am indebted to the referee for pointing out an inconsistence in the first version of the paper and for a number of suggestions that led to the improvements in the paper.