A Note on the Behaviour Under a Ground Field Extension of Quasicoefficient Fields

DOI10.1112/jlms/s2-43.1.12zbMath0687.14015OpenAlexW1979105809MaRDI QIDQ4205539

Luis Narváez-Macarro

Publication date: 1991

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-43.1.12

zbMATH Keywords

Bernstein-Sato polynomialpower series ringsglobal homological dimensionring of linear differential operatorsquasi-coefficient field

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Formal power series rings (13F25)

Related Items (4)

Conservation of the noetherianity by perfect transcendental field extensions ⋮ La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer ⋮ Rees algebras on smooth schemes: Integral closure and higher differential operator ⋮ Coefficient fields and scalar extension in positive characteristic

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