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Structure-aware annotation of leucine-rich repeat domains. [PDF]

PLoS Comput Biol
Xu B, Cerbu A, Tralie CJ, Lim D, Krasileva K.   +4 more
europepmc   +1 more source

On formal local cohomology and connectedness [PDF]

Journal of Algebra, 2007
Let \({\mathfrak a}\) be an ideal of a commutative noetherian local ring \((R,{\mathfrak m})\). Also, let \(M\) be a finitely generated \(R\)-module. The paper under review concerns the formal cohomology modules. For each non-negative integer \(i\), the \(i\)th formal cohomology module of \(M\) with respect to \({\mathfrak a}\) is defined as ...
Peter Schenzel
exaly   +3 more sources

A unified approach to formal local cohomology and local Tate cohomology

Rocky Mountain Journal of Mathematics, 2014
Let R be a commutative Noetherian ring. We introduce a theory of formal local cohomology for complexes of R-modules. As an application, we establish some relations between formal local cohomology, local homology, local cohomology and local Tate cohomology through some natural isomorphisms.
Kamran Divaani-Aazar, Mohsen Asgharzadeh   +1 more
exaly   +4 more sources

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Colocalization of formal local cohomology modules

Hokkaido Mathematical Journal, 2021
Let \(\mathfrak{a}\) 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 \(
exaly   +3 more sources

Some results on formal local cohomology

Journal of Algebra and Its Applications, 2021
We 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, Quyen, Tran Le, Tu, Nguyen Hoang Huy, Tri, Nguyen Minh   +3 more
openaire   +2 more sources

Cohomology of Formal Modules over Local Fields

Mathematical Notes, 2019
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S V Vostokov
exaly   +2 more sources

Top formal local cohomology module

Periodica Mathematica Hungarica, 2018
Let 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, Tu Hoang Huy Nguyen, Tri Minh Nguyen 0002   +2 more
exaly   +3 more sources

Finiteness properties of formal local cohomology modules

2022
In 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.
openaire   +1 more source