کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596314 1336161 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Necessary conditions for the depth formula over Cohen–Macaulay local rings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Necessary conditions for the depth formula over Cohen–Macaulay local rings
چکیده انگلیسی

Let R be a Cohen–Macaulay local ring and let M and N be finitely generated R-modules. In this paper we investigate some of the necessary conditions for the depth formula to hold. We show that, under certain conditions, M and N satisfy the depth formula if and only if for all i≥1. We also examine the relationship between the depth of M⊗RN and the vanishing of modules with various applications. One of them extends partially a result by Auslander on even dimensional regular local rings to complete intersections. In another application, we show that there is no nontrivial semidualizing module over Veronese subrings of the formal power series ring k[[X1,…,Xn]] over a field k.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 3, March 2014, Pages 522-530