Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Minimaxness and finiteness properties of formal local cohomology modules
Shahram Rezaei
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2015 年 38 巻 2 号 p. 430-436

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Let $\mathfrak{a}$ be an ideal of local ring (R,$\mathfrak{m}$) and M a finitely generated R-module and n an integer. We prove some results concerning minimaxness and finiteness of formal local cohomology modules. We discuss the maximum and minimum integers such that $\mathfrak{F}_\mathfrak{a}^i$(M) is minimax and also we obtain the maximum and minimum integers such that $\mathfrak{F}_\mathfrak{a}^i$(M) is finitely gnerated.
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© 2015 Department of Mathematics, Tokyo Institute of Technology
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