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Spin Groups Over a Commutative Ring and the Associated Root Data

✍ Scribed by Hisatoshi Ikai


Publisher
Springer Vienna
Year
2003
Tongue
English
Weight
243 KB
Volume
139
Category
Article
ISSN
0026-9255

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An algorithm for the divisors of monic p
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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 βŠ• . . . βŠ• Rm (m ≀ deg f ), associated to a fundamental system of idempotents e0, . . . , em, such that the component of f in each