Vanishing and Artinianness of Graded Generalized Local Cohomology

Let R = ⊕ j ≥0 R j be a homogeneous Noetherian ring with semilocal base ring R 0 . Let R + = ⊕ j ≥1 R j be the irrelevant ideal of R. For two finitely generated graded R -modules M and N, we investigate several results on the properties of vanishing, Artiniannes, and tameness of the graded R -modu...

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Bibliographic Details
Published in:	Ukrainian mathematical journal Vol. 72; no. 10; pp. 1513 - 1521
Main Authors:	Azari, A., Khojali, A., Zamani, N.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-03-2021 Springer Springer Nature B.V
Subjects:	Algebra Analysis Applications of Mathematics Geometry Homology Mathematics Mathematics and Statistics Modules Statistics
Online Access:	Get full text
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Summary:	Let R = ⊕ j ≥0 R j be a homogeneous Noetherian ring with semilocal base ring R 0 . Let R + = ⊕ j ≥1 R j be the irrelevant ideal of R. For two finitely generated graded R -modules M and N, we investigate several results on the properties of vanishing, Artiniannes, and tameness of the graded R -modules H R + i M N .
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-021-01869-3