Séminaire Lotharingien de Combinatoire, B12do (1985), 8 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1986, 314/S-12, p.
67-108.]
Luigi Cerlienco, Giorgio
Nicoletti and Francesco Piras
Representative Functions on the Algebra of Polynomials in
Infinitely Many Variables
Abstract.
We address the following question: among the subIgebras of
an incidence algebra of a given poset really useful in combinatorics,
which is the greatest? It is clear that such a question,
because of its vagueness, cannot receive a convincing final
answer. Nevertheless, it is legitimate to make a proposal. In our
opinion a good candidate is the subalgebra of representative functions
relative to the algebra of polynomials (either in a finite number or
in infinitely many variables).
In this article, we shall give such functions a characterization and describe
their usefulness in several settings.
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