Let R = n 0 R n be a noetherian homogeneous ring with local base ring (R 0, 0) and irrelevant ideal R +, let M be a finitely generated graded R-module. We shall define the upper finiteness dimension (lower finiteness dimension) of M with respect to R + and 0, denoted by u R +, 0(M)(l R +, 0(M)) and we prove that are artinian for all i â¤Â u R +, 0(M) (i â¥Â l R +, 0(M)). These results yield us to get some similar results for new finiteness dimensions induced by minimax and cofinite graded modules.View full textDownload full textKey WordsArtinian module, Graded local cohomology2000 Mathematics Subject Classification13D45, 13E10Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802502928
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机译：令R = n 0 R n 是具有局部基环（R 0 ，< sub> 0 ）和不相关的理想R + ，令M为有限生成的渐变R-模块。我们将定义相对于R + 和 0 的M的上限有限维（下限有限维），用u R + ， 0 （M）（l R + ， 0 （M））和我们证明所有i≥u R + ， 0 （M）（i≥l R + ， 0 （M））。这些结果使我们得到由minimax和cofinite渐变模块引起的新有限度尺寸的一些相似结果。 services_compact：“ citeulike，netvibes，twitter，technorati，美味，linkedin，facebook，stumbleupon，digg，google，更多”，发布：“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927870802502928
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