On the Fitting ideals in free resolutions.
نویسندگان
چکیده
منابع مشابه
Ideals of Minors in Free Resolutions
It is interesting to ask how the invariants of the maps i, such as the ideal Ij(bi) generated by the j x j minors of q, reflect the properties of M. For example, it is not hard to show (see Buchsbaum-Eisenbud [4]) that if the grade of M is g (that is, g is the length of a maximal regular sequence contained in J) and r is the rank of the map b (that is, the size of the largest nonvanishing minor...
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For a graph of an n-cycle ∆ with Alexander dual ∆, we study the free resolution of a subideal G(n) of the Stanley-Reisner ideal I∆∗ . We prove that if G(n) is generated by 3 generic elements of I∆∗ , then the second syzygy module of G(n) is isomorphic to the second syzygy module of (x1, x2, . . . , xn). A result of Bruns shows that there is always a 3-generated ideal with this property. We show...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1994
ISSN: 0026-2285
DOI: 10.1307/mmj/1029005082