Results 141 to 150 of about 7,769,949 (162)
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Colocalization of Formal Local Cohomology Modules
Hokkaido Mathematical Journal, 2021Let \(\mathfrak{a}\) denote an ideal of a local ring \((R,\mathfrak{m})\). Let \(H^i_{\mathfrak{m}}(\cdot)\) denote the \(i\)-th local cohomology functor with respect to \(\mathfrak{m}\). For a finitely generated \(R\)-module \(M\) the reviewer introduced \(\mathfrak{F}^i_{\mathfrak{a}}(M) := \varprojlim H^i_{\mathfrak{m}}(M/\mathfrak{a}^nM)\) as the \(
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Artinianness and Attached Primes of Formal Local Cohomology Modules
Algebra Colloquium, 2014Let 𝔞 be an ideal of a local ring (R, 𝔪) and M a finitely generated R-module. In this paper we study the Artinianness properties of formal local cohomology modules and we obtain the lower and upper bounds for Artinianness of formal local cohomology modules.
Bijan-Zadeh, Mohammad Hasan +1 more
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Cohomology of Formal Modules Over Local Fields
Mathematical Notes, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vostokov, S. V., Nekrasov, I. I.
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About the Theory of Formal Local Cohomology Modules
Let I, a be two ideals of a Noetherian ring R. Let M be an R-module. There exists a systematic study of the formal cohomology modules (M/M), 0 i . The purpose of this note is to establish a kind of theorem of nonvanishing on the formal local cohomology module. It is what will be done in this paper.exaly +3 more sources
Some Properties of the Formal Local Cohomology Module and Application in the Theory of Graphs [PDF]
Applied Mathematics & Information Sciences, 2022 There exists a systematic study of the formal local cohomology modules. In this paper, we discuted and studied about the formal local cohomology module. For the definition of this module is used the definition of the local cohomology module with respect ...
A. Kharabsheh, Radwan +1 more
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A Result for the Formal Local Cohomology Module and Vanishing Results [PDF]
Applied Mathematics & Information Sciences, 2017 In this paper, is discuted and studied about the formal local cohomology module. Also is put its connection with the local cohomology module and moreover is put some vanishing results for such module of formal local ...
Carlos Henrique Tognon +1 more
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Some results on formal local cohomology
Journal of Algebra and Its Applications, 2021We study some properties of formal local cohomology modules [Formula: see text] in Serre subcategories. As a consequence, we obtain some results on the minimax modules. We also describe the sets [Formula: see text] and [Formula: see text].
Nam, Tran Tuan +3 more
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Finiteness properties of formal local cohomology modules
2022In the paper the authors continue with the study of formal local cohomology (as it was introduced by \textit{P. Schenzel} [J. Algebra 315, No. 2, 894--923 (2007; Zbl 1131.13018)]) by the first author's paper [Commentat. Math. Univ. Carol. 60, No. 2, 177--185 (2019; Zbl 1524.13062); Hacet. J. Math. Stat. 49, No. 1, 254--272 (2020; Zbl 1488.13004); Kodai
Rezaei, Sh., Riahini Komachali, A.
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Top formal local cohomology module
Periodica Mathematica Hungarica, 2018Let I be an ideal of a local commutative noetherian ring ( $$R, {{\mathfrak {m}}}$$ ) and M a finitely generated R-module. We study some properties of the top formal local cohomology module
Tran Tuan Nam +2 more
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A finite result for the set of associated prime ideals of formal local cohomology modules
Asian-European Journal of Mathematics, 2018Let [Formula: see text] be a Noetherian local ring, [Formula: see text] two ideals of [Formula: see text], and [Formula: see text] two finitely generated [Formula: see text]-modules. It is first shown that [Formula: see text] is a finite set. We also prove that except the maximal ideal [Formula: see text], the set [Formula: see text] is stable for ...
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