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DIFFERENTIAL OPERATORS ON NONCOMMUTATIVE ALGEBRA: EQUIVALENCE AND SOME ALGEBRAIC OPERATIONS
Keywords:
Differential operators;, noncommutative algebra, opposite ringDOI:
https://doi.org/10.17654/0972555526006Abstract
In this work, we show the link between the definition given by Hazewinkel in [6] and that by given Lunts and Rosenberg in [8] on the notion of the differential operators algebra on a noncommutative algebra. We obtain some results for Cartesian and tensorial products of differential operator algebras on noncommutative algebras.
Received: August 11, 2025
Accepted: October 10, 2025
References
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[8] V. A. Lunts and A. L. Rosenberg, Differential operators on noncommutative rings, Institut des Hautes Etudes Scientifiques 35, route de Chartre 91440 Bures-sur-Yvette, France, 1997, pp. 1-4.
[9] A. Sama, Soro K. Fousséni and K. M. Kouakou, Algebra of differential operators on Laurent polynomials rings, RAMRES Sciences des Structures et de la Matière 7(2) (2023), 132-143.
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