Algebraic properties and dismantlability of finite posets

@article{Larose1997AlgebraicPA,
  title={Algebraic properties and dismantlability of finite posets},
  author={Benoit Larose and L{\'a}szl{\'o} Z{\'a}dori},
  journal={Discrete Mathematics},
  year={1997},
  volume={163},
  pages={89-99}
}
We show that every finite connected poser which admits certain operations such as Gumm or J6nsson operations, or a near unanimity function is dismantlable. This result is used to prove that a finite poset admits Gumm operations if and only if it admits a near unanimity function. Finite connected posets satisfying these equivalent conditions are characterized by the property that their idempotent subalgebras are dismantlable. As a consequence of these results we obtain that the pro01em of… CONTINUE READING

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