On the behavior of modules of m-integrable derivations in the sense of Hasse-Schmidt under base change

2019/05/05 by Hernández, María de la Paz Tirado · 1 citation
#13N15 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.01704

Abstract

We study the behavior of modules of m-integrable derivations of a commutative finitely generated algebra in the sense of Hasse-Schmidt under base change. We focus on the case of separable ring extensions over a field of positive characteristic and on the case where the extension is a polynomial ring in an arbitrary number of variables.

Cited by

• Finiteness of leaps of modules of integrable derivations of algebras of finite type

Related

• Leaps of modules of integrable derivations in the sense of Hasse-Schmidt
• Integrable derivations in the sense of Hasse-Schmidt for some binomial plane curve
• High-order derivations of the Hasse-Schmidt algebra
• Higher derivations of modules and the Hasse-Schmidt module
• Finiteness of leaps of modules of integrable derivations of algebras of finite type