On the Calculation of gl.dim Gℕ(A) and ${\rm gl.dim}\, \widetilde{A}$ by Using Gröbner Bases
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Let [Formula: see text] be a K-algebra defined by a finite Gröbner basis [Formula: see text]. In this paper, it is shown how to use the Ufnarovski graph [Formula: see text] and the graph of n-chains [Formula: see text] to calculate gl.dim Gℕ(A) and [Formula: see text], where Gℕ(A), respectively [Formula: see text], 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 〈X1,…, Xn〉.
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2011 ◽
Vol 48
(4)
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pp. 458-474
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2010 ◽
Vol 13
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pp. 111-129
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2015 ◽
Vol 4
(2)
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pp. 1-14
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2018 ◽
Vol 28
(04)
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pp. 553-571
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2006 ◽
Vol 16
(01)
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pp. 187-202
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