Polynomial Rings in Which Delta Operators are Derivations

✍ Scribed by Luca Ferrari

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 93 KB
• Volume: 22
• Category: Article
• ISSN: 0195-6698
• DOI: 10.1006/eujc.2001.0534

✦ Synopsis

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.