January 2014
Miskolc Mathematical Notes;2014, Vol. 15 Issue 1, p19
Academic Journal
Let R be a commutative noetherian graded ring. In R[Y1, ... ,Ym] we consider the linear forms ai = Σj=1m aji Yj, 1 ⩽ i ⩽ n, with aji homogeneous elements of R. We state a necessary and sufficient condition, in terms of *grades of the determinantal ideals of the matrix A = (aji), for the ideal (a1, ... ,an) to be a *complete intersection of *grade n in R[Y1, ... ,Ym].


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