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On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field

โœ Scribed by V. M. Prokip


Book ID
112473235
Publisher
Springer
Year
1993
Tongue
English
Weight
380 KB
Volume
45
Category
Article
ISSN
0041-5995

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An algorithm for the divisors of monic p
โœ Ihsen Yengui ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 147 KB

Gilmer and Heinzer proved that given a reduced ring R, a polynomial f divides a monic polynomial in R[X] if and only if there exists a direct sum decomposition of R = R0 โŠ• . . . โŠ• Rm (m โ‰ค deg f ), associated to a fundamental system of idempotents e0, . . . , em, such that the component of f in each