\'{E}tale difference algebraic groups
Michael Wibmer

TL;DR
This paper introduces a Jordan-Hölder type decomposition for tale difference algebraic groups, showing they can be constructed from simple tale algebraic groups and two finite tale difference algebraic groups, with a focus on their uniqueness properties.
Contribution
It establishes a novel decomposition theorem for tale difference algebraic groups, extending classical algebraic group theory into the difference algebra setting.
Findings
Decomposition of tale difference algebraic groups into simple components
Identification of two finite tale difference algebraic groups involved in the structure
Proof of a uniqueness property for the simple components
Abstract
\'{E}tale difference algebraic groups are a difference analog of \'{e}tale algebraic groups. Our main result is a Jordan-H\"{o}lder type decomposition theorem for these groups. Roughly speaking, it shows that any \'{e}tale difference algebraic group can be build up from simple \'{e}tale algebraic groups and two finite \'{e}tale difference algebraic groups. The simple \'{e}tale algebraic groups occurring in this decomposition satisfy a certain uniqueness property.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicssemigroups and automata theory · Cellular Automata and Applications · Advanced Topology and Set Theory
