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Characteristics of Linear Differential Operators Over Commutative Algebras

Characteristics of Linear Differential Operators Over Commutative Algebras Three definitions for characteristics of linear differential operators in the category of modules over a commutative unitary algebra are given. These definitions are compared with each other and some basic fact concerning their properties are proved. It is shown that for algebras without zero divisors the characteristic ideal is involutive and is the support of the symbolic module. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Characteristics of Linear Differential Operators Over Commutative Algebras

Krasil’shchik, I.
Acta Applicandae Mathematicae , Volume 49 (3) – Oct 15, 2004
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References (5)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1005842422456
Publisher site
See Article on Publisher Site

Abstract

Three definitions for characteristics of linear differential operators in the category of modules over a commutative unitary algebra are given. These definitions are compared with each other and some basic fact concerning their properties are proved. It is shown that for algebras without zero divisors the characteristic ideal is involutive and is the support of the symbolic module.

Journal

Acta Applicandae Mathematicae – Springer Journals

Published: Oct 15, 2004

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