Some results on polyadic algebras

@inproceedings{Ahmed2013SomeRO,
  title={Some results on polyadic algebras},
  author={Tarek Sayed Ahmed},
  year={2013}
}
While every polyadic algebra (PA) of dimension 2 is representable, we show that not every atomic polyadic algebra of dimension two is completely representable; though the class is elementary. Using higly involved constructions of Hirsch and Hodkinson we show that it is not elementary for higher dimensions a result that, to the best of our knowledge, though easily destilled from the literature, was never published. We give a uniform flexible way of constructing weak atom structures that are not… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 10 REFERENCES

Nemeti (editors) Cylindric-like algebras and algebraic logic Bolyai Society

H. Andreka, I. M. Ferenczi
  • Mathematical Studies,
  • 2013
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

A model theoretic solution to a problem of TarskiMathematical Logic Quarterly

T. Sayed Ahmed
  • 2002

The class of 2 dimensional neat reducts of polyadic algebras is not elementary

T. Sayed Ahmed
  • Fundementa Mathematica
  • 2002

On representability of neatly embeddable cylindric algebras

  • Journal of Applied Non-Classical Logics
  • 2000
VIEW 1 EXCERPT

Sayed Ahmed The class of 2 dimensional neat reducts of polyadic algebras is not elementary

L. Henkin
  • Fundementa Mathematica