EQUALITY BETWEEN THE ALGEBRAS OF DIFFERENTIAL OPERATORS AND ENDOMORPHISMS IN FINITE DIMENSION

In this paper, we show that in characteristic zero, the condition \textit{ finite local $k-$rational} is not necessary for the algebra of differential operators on a commutative and unitary $k-$algebra to be equal to that of endomorphisms. But the \textit{finite dimension} is necessary for the algebra of differential operators to be an algebra of finite dimension.

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Publication Details

Journal
Advances in Mathematics Scientific Journal
Published
2024-08-23
DOI
https://doi.org/10.37418/amsj.13.3.8
Citations
1
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.36
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article

EQUALITY BETWEEN THE ALGEBRAS OF DIFFERENTIAL OPERATORS AND ENDOMORPHISMS IN FINITE DIMENSION

Konan M. Kouakou, Sama Anzoumana
1 citations
Advances in Mathematics Scientific Journal
Matrix Theory and Algorithms
0.36
article

EQUALITY BETWEEN THE ALGEBRAS OF DIFFERENTIAL OPERATORS AND ENDOMORPHISMS IN FINITE DIMENSION

Konan M. Kouakou, Sama Anzoumana
article en
1 citations

Abstract

In this paper, we show that in characteristic zero, the condition \textit{ finite local $k-$rational} is not necessary for the algebra of differential operators on a commutative and unitary $k-$algebra to be equal to that of endomorphisms. But the \textit{finite dimension} is necessary for the algebra of differential operators to be an algebra of finite dimension.

Advances in Mathematics Scientific JournalVol. 13(3)
Reduced inequalities
Openalex Percentile: Top 37%
Matrix Theory and Algorithms
0.36
DOISourceOpenAlex
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EQUALITY BETWEEN THE ALGEBRAS OF DIFFERENTIAL OPERATORS AND ENDOMORPHISMS IN FINITE DIMENSION — Konan M. Kouakou, Sama Anzoumana · Advances in Mathematics Scientific Journal (2024) | TGRS Research Map | TGRS