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States on Hilbert Algebras

✍ Scribed by Cătălin Buşneag

Publisher: Springer Netherlands
Year: 2010
Tongue: English
Weight: 216 KB
Volume: 94
Category: Article
ISSN: 0039-3215
DOI: 10.1007/s11225-010-9229-7

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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