Non-free iterative differential modules

DOI10.1145/3055282.3055283zbMath1365.12002arXiv1511.00476OpenAlexW2118529977MaRDI QIDQ5268813

Andreas Maurischat

Publication date: 21 June 2017

Published in: ACM Communications in Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00476

Mathematics Subject Classification ID

Differential algebra (12H05) Abstract differential equations (12H20) Galois theory and commutative ring extensions (13B05)

Cites Work

• Picard-Vessiot theory of differentially simple rings
• Infinitesimal group schemes as iterative differential Galois groups
• Picard-Vessiot extensions of Artinian simple module algebras.
• Galois theory for iterative connections and nonreduced Galois groups
• Iterative differential equations and the Abhyankar conjecture

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