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Transcendence degree over an arbitrary commutative ring

โœ Scribed by Eloise Hamann


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
579 KB
Volume
101
Category
Article
ISSN
0021-8693

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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 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