کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4586994 | 1334125 | 2009 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Structure theory for some classes of grade three perfect ideals
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We show that the Buchsbaum–Eisenbud structure theorem for almost complete intersections of grade 3 can be characterized by the almost complete matrix f of grade 3 and its associated ideal K3(f). We also provide a simple proof of the structure theorem for some classes of perfect ideals of grade 3 which are algebraically linked to an almost complete intersection of grade 3 by a regular sequence. This contains three classes of perfect ideals of grade 3 which were determined by Buchsbaum–Eisenbud, Brown and Sanchez. Finally we give an additional proof of the Buchsbaum–Eisenbud structure theorem for Gorenstein ideals of grade 3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 8, 15 October 2009, Pages 2680-2708
Journal: Journal of Algebra - Volume 322, Issue 8, 15 October 2009, Pages 2680-2708