Browsing by Subject "Gröbner basis"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
Item Open Access Gröbnerian Dickson polynomials(American Mathematical Society, 2009) Sezer, M.; Ünlü, O.Let F be a finite field and k be a positive integer. We compute the reduced Gröbner basis for the Hilbert ideal of GLk(F) in terms of Dickson invariants of its subgroups. © 2008 American Mathematical Society.Item Open Access Regularity and K0-group of quadric solvable polynomial algebras(2003) Li, HuishiConcerning solvable polynomial algebras in the sense of Kandri-Rody and Weispfenning [J. Symbolic Comput. 9 (1990) 1-26], it is shown how to recognize and construct quadric solvable polynomial algebras in an algorithmic way. If A = k[a1,..., an] is a quadric solvable polynomial algebra, it is proved that gl.dim A ≤ n and K0(A) ≅ ℤ. If A is a tame quadric solvable polynomial algebra, it is shown that A is completely constructable and Auslander regular.