Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595789 | Journal of Pure and Applied Algebra | 2016 | 15 Pages |
Abstract
We prove some existence results on parameterized strongly normal extensions for logarithmic equations. We generalize a result in Wibmer (2012) [16]. We also consider an extension of the results in Kamensky and Pillay (2014) [4] from the ODE case to the parameterized PDE case. More precisely, we show that if DD and Δ are two distinguished sets of derivations and (KD,Δ)(KD,Δ) is existentially closed in (K,Δ)(K,Δ), where K is a D∪ΔD∪Δ-field of characteristic zero, then every (parameterized) logarithmic equation over K has a parameterized strongly normal extension.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Omar León Sánchez, Joel Nagloo,