English

On Linear Difference Equations over Rings and Modules

Rings and Algebras 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0302337,
  title  = {On Linear Difference Equations over Rings and Modules},
  author = {Jawad Y. Abuhlail},
  journal= {arXiv preprint arXiv:math/0302337},
  year   = {2007}
}

Comments

21 pages, to appear in IJMMS