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A dichotomy for the injective dimension of F-finite F-modules and holonomic D-modules

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Abstract Let M be either a holonomic D-module over a formal power series ring with coefficients in a field of characteristic zero, or an F-finite F-module over a noetherian regular… Click to show full abstract

Abstract Let M be either a holonomic D-module over a formal power series ring with coefficients in a field of characteristic zero, or an F-finite F-module over a noetherian regular ring of characteristic pā€‰>ā€‰0. We prove that enjoys a dichotomy property: it has only two possible values, or .

Keywords: dimension finite; injective dimension; finite modules; modules holonomic; dichotomy injective; holonomic modules

Journal Title: Communications in Algebra
Year Published: 2019

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