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Hilbert Functions and Level Algebras

✍ Scribed by Young Hyun Cho; Anthony Iarrobino

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
122 KB
Volume
241
Category
Article
ISSN
0021-8693

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✦ Synopsis

The authors consider certain quotients A s RrI of the polynomial ring R s w x K x , . . . , x over an arbitrary field K. They first determine upper and lower 1 r bounds on the Hilbert functions of any algebra having the form A s RrV, where Ž . V is the largest ideal of R agreeing in degrees at least j with the ideal V generated by a vector subspace V ; R of degree j forms: these bounds extend the j

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