Here are some papers that may be useful resources for the course ``Algebraic and Algorithmic Aspects of Difference Equations''
A few pages from "Intro to Commutative ..." by Kunz
"Initial Results in the theory of linear algebraic groups" by Rosenlicht
"Notes on difference equations" by Singer (the prequil to "Galois Theory of Difference Equations")
"Solving difference equations in finite terms" by Hendriks and Singer
"An Algorithm for determining the difference Galois group of second order difference equations""by Hendriks
"Quantum Automata and Algebraic Groups" by Derksen et al
"Hypergeometric solutions of linear recurrences with polynomial coefficients"by Petkovsek
are the lecture notes for the course.