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Laszlo Zadori - Finite posets with symmetric idempotent operations
| LASZLO ZADORI, U. Szeged |
| Finite posets with symmetric idempotent operations |
An n-ary operation f is totally symmetric if it obeys the identity
for all sets of variables such that
. A characterization of finite posets
admitting an n-ary idempotent totally symmetric operation for all n is
given. The characterization is expressed in terms of zigzags, special
objects assigned to the poset. Related problems concerning idempotent
Malcev conditions for order primal algebras are mentioned in the talk.
