International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5, Pages 239-258

On linear difference equations over rings and modules

Jawad Y. Abuhlail1,2

1Mathematics Department, Birzeit University, P.O. Box 14, West Bank, Birzeit, Palestinian Authority
2Box # 281 KFUPM, Dhaharan 31261, Saudi Arabia

Received 8 February 2003

Copyright © 2004 Jawad Y. Abuhlail. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.