On the Local Cohomology and Formal Local Cohomology Modules
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Let a and b be ideals of a commutative Noetherian ring R and M be a finitely generated R-module of dimension d > 0. We prove some results concerning the top local cohomology and top formal local cohomology modules. Among other things, we determine SuppR(b H d a(M)) and SuppR(bFd a(M)). Also, we obtain some relations be tween AnnR(b H d a(M)), AttR(b H d a(M)) and SuppR(b H d a(M)) and we get similar results for bFd a(M).
Abstract
Let a and b be ideals of a commutative Noetherian ring R and M be a finitely generated R-module of dimension d > 0. We prove some results concerning the top local cohomology and top formal local cohomology modules. Among other things, we determine SuppR(b H d a(M)) and SuppR(bFd a(M)). Also, we obtain some relations be tween AnnR(b H d a(M)), AttR(b H d a(M)) and SuppR(b H d a(M)) and we get similar results for bFd a(M).
참고문헌 (9)
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