東京名古屋代数セミナー

過去の記録 ~03/28次回の予定今後の予定 03/29~

担当者 阿部 紀行、Aaron Chan、伊山 修、行田 康晃、中岡 宏行、高橋 亮
セミナーURL http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html

2021年05月20日(木)

16:00-17:30   オンライン開催
オンライン開催の詳細は下記URLをご覧ください。
神田 遼 氏 (大阪市立大学)
This talk is based on joint work with Tsutomu Nakamura. For a module-finite algebra over a commutative noetherian ring, we give a complete description of flat cotorsion modules in terms of prime ideals of the algebra, as a generalization of Enochs' result for a commutative noetherian ring. As a consequence, we show that pointwise Matlis duality gives a bijective correspondence between the isoclasses of indecomposable flat cotorsion right modules and the isoclasses of indecomposable injective left modules. This correspondence is an explicit realization of Herzog's homeomorphism induced from elementary duality between Ziegler spectra.
[ 講演参考URL ]
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html