J. Backelin and R. Froberg, Poincare series of short Artinian rings, J. Algebra, 96 (1985), 495--498. Home/Search Document Not in Database Summary Related Articles Check |
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A Graded Subring of an Inverse Limit of Polynomial Rings - Snellman (1998) (Correct)
....4.5.3 does not generalize to more than two generators: that is, it is not the case that the Hilbert series of the quotient of K[x 1 ; x n ] by a homogeneous ideal is completely determined by the total degrees of the gcd s of subsets of a generating set. Example 4.5.5. This example is from [6], where it provids an example of an algebra with deviant Poincare series. We shall concern ourselves instead with its Hilbert series. Let J denote the ideal (x 1 ; x 2 x 3 ; x 1 x 3 x 2 ) Then the generators are pair wise coprime, so every gcd is 1. Still, K[x 1 ;x 2 ;x 3 ] is no complete ....
Jorgen Backelin and Ralf Froberg. Poincare Series of Short Artinian Rings. Journal of algebra, 96(2):495--498, October 1985.
On the Charney-Davis and Neggers-Stanley Conjectures - Reiner, Welker (Correct)
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J. Backelin and R. Froberg, Poincare series of short Artinian rings, J. Algebra, 96 (1985), 495--498.
On the Charney-Davis and Neggers-Stanley Conjectures - Reiner, Welker (Correct)
No context found.
J. Backelin and R. Froberg, Poincare series of short Artinian rings, J. Algebra, 96 (1985), 495--498.
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