Minimal algebra resolutions for cyclic modules defined by Huneke-Ulrich ideals
Let R be a commutative noetherian local ring and let I be a \(deviation\quad 2\quad Gorenstein\quad ideal\) considered by \textit{C. Huneke} and \textit{B. Ulrich} in Am. J. Math. 107, 1265-1303 (1985; Zbl 0587.13006). This means that there exist a 2n\(\times 2n\) skew-symmetric matrix X and \(1\times 2n\) matrix Y over R such that \(I=I_ 1(YX)+(Pf(X))\) where \(I_ 1(YX)\) is the ideal generated by the entries of the product YX, Pf(X) is the pfaffian of X and grade of I is 2n-1. - The author constructs an algebra structure on a minimal R-free resolution of R/I.
scientific article; zbMATH DE number 4208231
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