Geometrically Linked Ideals and Gorenstein Dimension
Başlık:
Geometrically Linked Ideals and Gorenstein Dimension
Yazar:
Gheibi, Mohsen, author.
ISBN:
9780438038936
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (65 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Mark Walker; Roger Wiegand.
Özet:
This thesis consists of two chapters. Chapter one is devoted to the notion of geometric linkage in the context of modules. We generalize a theorem of Peskine and Szpiro about geometrically linked ideals in the context of modules. More precisely, we show that over an unmixed local ring R if a G-perfect R-module M is linked to an R- module
In chapter two,first by using geometrically linked ideals, we give a construction for inffinitely many non-isomorphic indecomposable (totally re exive) modules, each minimally generated by a given number of elements. Next, we show that if a Cohen-Macaulay non-Gorenstein local ring (R;m; k) admits a non-free totally re exive module Mof minimal multiplicity, then the Poincare series of M is a factor of the Poincaree series of the residuefield k. As a consequence, we show that over such a ring, if cxR( M) < infinity then no syzygy of the residuefield has a non-zero direct summand offinite Gorenstein dimension.
Notlar:
School code: 0138
Konu Başlığı:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(682806.1) | 682806-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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