Results of Graded Local Cohomology Modules with respect to a Pair of Ideals
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Let R=\bigoplus_{n\in{\Bbb{Z}}}R_{n}$ bea graded commutative Noetherian ring and let $I$ be a gradedideal of R and J be an arbitrary ideal. It is shown that the i-th generalized localcohomology module of graded module M withrespect to the (I, J), is graded. Also, the asymptoticbehaviour of the homogeneous components of H^{i}_{I, J}(M) isinvestigated for some i^{,}s with a specified property. }
Abstract
Let R=\bigoplus_{n\in{\Bbb{Z}}}R_{n}$ bea graded commutative Noetherian ring and let $I$ be a gradedideal of R and J be an arbitrary ideal. It is shown that the i-th generalized localcohomology module of graded module M withrespect to the (I, J), is graded. Also, the asymptoticbehaviour of the homogeneous components of H^{i}_{I, J}(M) isinvestigated for some i^{,}s with a specified property. }
참고문헌 (10)
- M. P. Brodmann, "Local cohomology: an algebraic introduction with geometric applications" (1998), Cambridge Univ. Press
- W. Bruns, "Cohen-Macaulay ring" (1998), Cambridge Univ. Press
- M. Jahangiri, "On graded local cohomology modules defined by a pair of ideals", J. Agebr. Syst, 3(2), pp.133~146 (2016)
- K. Khashyarmanesh, "Associated primes of graded components of generalized local co-homology modules", Comm. Algebra, 33, pp.3081~3090 (2005)
- P. H. Lima, "Graded verson of local cohomology with respect to a pair of ideals", J. Commut. Algebra, 9, pp.545~561 (2017)
- L. Melkersson, "Modules cofinite with respect to an ideal", J. Algebra, 285, pp.649~668 (2005)
- J. Rotman, "An Introduction to homological algebra" (1979), Academic Press
- C.Rotthaus, "Some properties of graded local cohomology modules", J. Algebra, 283, pp.232~247 (2005)
- R. Takahashi, "Local cohomology based on a nonclosed support defined by a pair of ideals", J. Pure Appl. Algebra, 213, pp.582~600 (2009)
- N. Zamani, "On the homogeneous pieces of graded generalized local cohomology modules", Colloq. Math, 97(2), pp.181~188 (2003)