paper

On Linear Difference Equations over Rings and Modules

arXiv:math/0302337

Abstract

In this note we develop a coalgebraic approach to the study of solutions of linear difference equations over modules and rings. Some known results about linearly recursive sequences over base fields are generalized to linearly (bi)recursive (bi)sequences of modules over arbitrary commutative ground rings.

21 pages, to appear in IJMMS

On Linear Difference Equations over Rings and Modules · wovepaper