International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5-8, Pages 239-258
doi:10.1155/S0161171204302085
On linear difference equations over rings and modules.
Jawad Y. Abuhlail
Mathematics Department, Birzeit University, P.O. Box 14, West Bank, Birzeit, Palestinian Authority
Abstract
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.