报告人：Jan Saroch
报告地点：数学与统计学院104室
报告时间：2018年05月07日星期一14:30-15:30
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报告摘要：
We introduce a general version of singular compactness theorem which makes it possible to show that being a Σ-cotorsion module is a property of the complete theory of the module. As an application of the powerful tools developed along the way, we give a new characterization of Gorenstein flat modules which implies that, regardless of the ring, the class of all Gorenstein flat modules forms the left-hand class of a perfect cotorsion pair. We also prove the dual result for Gorenstein injective modules.
主讲人简介：
Professor Dr. Jan Saroch is working at Faculty of Mathematics and Physics, Charles University, Prague, Czech. His research interests include Algebra (module and representation theory, commutative and homological algebra), logic (model- and set- theoretic methods in algebra), category theory (module approximations). He has solved some long-standing problems and has published eight papers until now which appeared in Inventiones mathematicae, Advances in Mathematics, etc.
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