MMN-582
A note on *complete intersections generated by linear forms
M. La Barbiera;Abstract
Let $R$ be a commutative noetherian graded ring. In $R[Y_1,\dots,Y_m]$ we
consider linear forms $a_i =\sum_{j=1}
^m a_{ji}Y_j , 1 \geq i \geq n,$ 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 $A = (aji),$ for the ideal $(a_1,\dots, a_n)$ to be a
*complete intersection of *grade $n$ in $R[Y_1,\dots,Y_m].$
Vol. 15 (2014), No. 1, pp. 19-25