Let R be a commutative noetherian graded ring. In R[Y1,..., Ym] we consider the linear forms a(i) = Sigma(m)(j=1)a(ji)Y(j), 1 <= i <= n, with a(ji) homogeneous elements of R. We state a necessary and sufficient condition, in terms of *grades of the determinantal ideals of the matrix A = (a(ji)), for the ideal (a(1), ...,a(n)) to be a *complete intersection of *grade n in R[Y1,... , Ym].
A NOTE ON *COMPLETE INTERSECTIONS GENERATED BY LINEAR FORMS
LA BARBIERA, MONICA
2014-01-01
Abstract
Let R be a commutative noetherian graded ring. In R[Y1,..., Ym] we consider the linear forms a(i) = Sigma(m)(j=1)a(ji)Y(j), 1 <= i <= n, with a(ji) homogeneous elements of R. We state a necessary and sufficient condition, in terms of *grades of the determinantal ideals of the matrix A = (a(ji)), for the ideal (a(1), ...,a(n)) to be a *complete intersection of *grade n in R[Y1,... , Ym].File in questo prodotto:
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