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学术报告

Cotorsion pairs and Gorenstein dimensions for complexes-Prof. Dr. Nanqing Ding (Nanjing University, China)

题目:Cotorsion pairs and Gorenstein  dimensions for complexes

报告人:Prof. Dr. Nanqing Ding  (Nanjing University,  China)

时间:2017年5月3日(周三)下午2:00—3:00

地点:首都师范大学本部教学2楼611教室

摘要:In this talk, we define the notion of Gorenstein  ?-dimensions for complexes by applying the model structure induced by a complete hereditary cotorsion pair (A,?) in Mod-R. Characterizations of the finiteness of Gorenstein ?- dimensions for complexes are given. As an application, we get a new model structure in Mod-R. Moreover, we give some necessary and sufficient conditions for the validity of the Finitistic Dimension Conjecture. Finally, the relationships between Gorenstein ?-dimensions and ?-dimensions for complexes are studied.

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