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GENERALIZATION OF McCONNELL’S THEOREM IN PRIME CHARACTERISTIC

Year: 2024

Type: article

Abstract: Let be a field and be an ideal of the polynomial algebra in variables. If is a (commutative) -algebra, then we denote by the algebra of differential operators on the algebra . McConnell and Robson showed that in characteristic zero, the algebra of differential operators on a commutative -algebra of finite type is isomorphic to a quotient of a subalgebra of the algebra of differential operators on a polynomial algebra, i.e., In this paper, we generalize this result of McConnell and Robson in prime characteristic.

Source: JP Journal of Algebra Number Theory and Applications

DOI: 10.17654/0972555525002

Authors: Sama Anzoumana, Konan M. Kouakou

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4404503968

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