Structure theory for some classes of grade three perfect ideals
نویسندگان
چکیده
منابع مشابه
Structure Theory for a Class of Grade Four Gorenstein Ideals
An ideal / in a commutative noetherian ring R is a Gorenstein ideal of grade g if pdR(R/I) = grade I = g and the canonical module HxtsR(R/I, R) is cyclic. Serre showed that if g = 2 then / is a complete intersection, and Buchsbaum and Eisenbud proved a structure theorem for the case g = 3. We present generic resolutions for a class of Gorenstein ideals of grade 4, and we illustrate the structur...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.07.021