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A Characterization of Zero-Dimensional Annihilators of Tableaus

โœ Scribed by Mark Heiligman; David Fu


Book ID
102573188
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
188 KB
Volume
193
Category
Article
ISSN
0021-8693

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Decomposition of tableaus annihilated by
โœ David Fu; Mark Heiligman; Cameron Wickham ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 161 KB

A (1-dimensional) linear recursive sequence s over a field K decomposes in the following canonical way. Let I โŠ‚ K[x] be the annihilator ideal of s. Since K[x] is a principal ideal domain, I = f K[x] for some polynomial f , which can be factored as f 1 โ€ข โ€ข โ€ข f r where the f i are coprime. Thus s can