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On the Calculation of gl.dimG^N(A) and gl.dimA by Using Gröbner Bases
[article]

2008
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arXiv
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pre-print

Let A=K< X_1,...,X_n> /< G> be a K-algebra defined by a finite Gröbner basis G. It is shown how to use the Ufnarovski graph Γ ( LM( G)) and the graph of n-chains Γ_ C( LM( G)) to calculate gl.dimG^N(A) and gl.dimA, where G^N(A), respectively A, is the associated N-graded algebra of A, respectively the Rees algebra of A with respect to the N-filtration FA of A induced by a weight N-grading filtration of K< X_1,...,X_n>.

arXiv:0805.0686v1
fatcat:cf5en46drbamhl3qbrxifopvea