Learning seminar on Finite Relational StructuresExport this event to calendar

Thursday, November 22, 2012 — 2:30 PM EST

Carrie Knoll, Department of Pure Mathematics,  University of Waterloo

“Idempotent operations in reflexive digraphs”

Every projection map is idempotent, but the converse is not necessarily true. In a general structure A, it is possible that the only binary idempotent operations on A are the binary projection maps, but we can find a 3-ary idempotent operation that is not a projection. This cannot happen for finite reflexive digraphs. We will show that if there is some n ≥ 2 such that every n-ary idempotent operation is a projection, then the same holds for all n ≥ 2.

Location 
MC - Mathematics & Computer Building
5046
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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