Approximations of Complete Modules by Complete Big Cohen-Macaulay Modules over a Cohen-Macaulay Local Ring

Simon AM

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Approximations of Complete Modules by Complete Big Cohen-Macaulay Modules over a Cohen-Macaulay Local Ring

机译：完整的大Cohen-Macaulay模块在Cohen-Macaulay局部环上的完整模块的逼近

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摘要

The Auslander-Buchweitz theory for finitely generated modules over a Cohen-Macaulay local ring is extended to complete modules, finitely generated or not. This also allows us to extend to complete modules some other known facts concerning finitely generated ones.

机译：在Cohen-Macaulay局部环上有限生成的模块的Auslander-Buchweitz理论被扩展为完整模块，无论是否有限生成。这也使我们可以将有关有限生成事实的其他一些已知事实扩展到完整的模块。

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来源
《Algebras and representation theory》 |2009年第5期|共16页
作者
Simon AM;
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正文语种 eng
中图分类抽象代数（近世代数）;
关键词
Cohen-Macaulay modules; Local ring; Auslander-Buchweitz theory;

机译：Cohen-Macaulay模;局部环;Auslander-Buchweitz理论;

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专利

1. Approximations of Complete Modules by Complete Big Cohen-Macaulay Modules over a Cohen-Macaulay Local Ring [J] . Simon AM Algebras and representation theory . 2009,第2a5期

机译：完整的大Cohen-Macaulay模块在Cohen-Macaulay局部环上的完整模块的逼近
2. On the existence of maximal Cohen-Macaulay modules over Noetherian complete local rings [J] . Communications in algebra . 2020,第3a4期

机译：Neetherian完整本地环上最大Cohen-Macaulay模块的存在
3. Approximations of Complete Modules by Complete Big Cohen–Macaulay Modules over a Cohen–Macaulay Local Ring [J] . Anne-Marie Simon Algebras and Representation Theory . 2009,第2a5期

机译：完整的大Cohen-Macaulay模块在Cohen-Macaulay局部环上的完整模块的逼近
4. Maximal Cohen-Macaulay Modules and Stable Vector Bundles [C] . Corina BACIU, NATO NATO Advanced Research Workshop on Computational Commutative and Non-Commutative Algebraic Geometry . 2005

机译：最大的Cohen-Macaulay模块和稳定的矢量包
5. Cohen-Macaulay approximations over a Gorenstein local ring. [D] . Ding, Songqing. 1990

机译：Gorenstein局部环上的Cohen-Macaulay近似值。
6. The Singularity of Cetacea Behavior Parallels the Complete Inactivation of Melatonin Gene Modules [O] . Mónica Lopes-Marques, Raquel Ruivo, Luís Q. Alves, 2019

机译：鲸类行为的奇异性使褪黑激素基因模块完全失活
7. The structure of balanced big Cohen-Macaulay modules over Cohen-Macaulay rings [O] . Holm, Henrik 2014

机译：Cohen-macaulay平衡大Cohen-macaulay模块的结构戒指

Approximations of Complete Modules by Complete Big Cohen-Macaulay Modules over a Cohen-Macaulay Local Ring

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