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On generating large classes of Sheffer functions (1978)

Rosenberg, I. G.

Springer

Aequationes mathematicae 17 (1978), S. 164-181

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ISSN: 1420-8903

Keywords: Primary 08A25 ; Secondary 02C05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Let A be a finite set,n 〉 1 andD $$ \subseteq $$ A n . We say thatf:D → A is a partial Sheffer function of size |D| if eachf*: A n → A agreeing withf onD is Sheffer (or complete that is 〈A; f〉 primal), i.e. iff* generates allg:A m → A (m = 1, 2, ⋯) via repeated composition. The least size of a partial Sheffer function is shown to be |A| + 2 and all partial Sheffer functions of this size are exhibited. This shows how surprisingly little information onf is needed to ensure thatf is Sheffer and, at the same time, gives a description of large classes of Sheffer functions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01818558

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