On Linear Difference Equations over Rings and Modules

2003/02/27 by Jawad Abuhlail, Jawad Y. Abuhlail, Abuhlail, Jawad Y.
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Coding theory and cryptography #math.RA #msc:16W30 #msc:39A99

paper · pdf · doi:10.48550/arxiv.math/0302337

21 pages, to appear in IJMMS

arxiv created 2003/07/09 · arxiv updated 2009/11/30

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.

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