Strongly \'etale difference algebras and Babbitt's decomposition
Algebraic Geometry
2018-02-23 v2 Commutative Algebra
Abstract
We introduce a class of strongly \'{e}tale difference algebras, whose role in the study of difference equations is analogous to the role of \'{e}tale algebras in the study of algebraic equations. We deduce an improved version of Babbitt's decomposition theorem and we present applications to difference algebraic groups and the compatibility problem.
Cite
@article{arxiv.1512.00495,
title = {Strongly \'etale difference algebras and Babbitt's decomposition},
author = {Ivan Tomašić and Michael Wibmer},
journal= {arXiv preprint arXiv:1512.00495},
year = {2018}
}
Comments
22 pages, minor changes, several examples added