Polynomial Rings in Which Delta Operators are Derivations

Author: Ferrari L.

Source: European Journal of Combinatorics, Volume 22, Number 8, November 2001 , pp. 1059-1064(6)

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Abstract:

For each delta operator Q, we define a multiplication of polynomials of K [ x] that makes Q a derivation in a suitable polynomial ring. We see that such derivation ring is isomorphic to K [x ] with the usual derivative operator D. We supply a complete classification of the isomorphisms between these two structures, ending with a slight generalization. Copyright 2001 Academic Press

Language: English

Document Type: Research article

Affiliations: Dipartimento di Matematica “U. Dini", Viale Morgagni 67/A, 50134 Firenze, Italy

Publication date: 2001-11-01