佐賀大学理工学部
第178回応数談話会

談話会

日時

２００５年１月２７日（木）１６：１０〜１７：１０

講演者

林　碩勲(RIM Seog-Hoon) 氏 （慶北大）

題目

Divisible Envelopes of Modules

要旨

Follow the definition of Enochs we give a definition of divisible envelopes of modules M. Let D(M) be the divisible envelopes of modules of M. At first, we want to characterize such ring R that every R has divisible envelopes Using this characerization, we want to study some inner structure of the module. For example, we can get that if M is torsion then we have D(M) is torsion. From this we check that under what condition torsionfree preserve on D(M). Specially when R is integral domain, the follwing statements are equivalent

1. R is Gorenstein ring with Krulldimension at most 1
2. ring R is noetherian, and every R-module has a divisible envelopes with injective cokernel
3. every R-module has a divisible envelopes with injective cokernel, and every torsion injective R-module is left orthogonal to divisible class.

大学院集中講義(応用離散数理（専攻外科目）)

日時

２００５年１月２４日（月）〜１月２８日（金）

校時　月　II, III, IV
      火  II, III, IV
      水  II, III, IV
　　　木　II, III, IV　[16:10から談話会, その後歓迎会]
　　　金　II, III, IV
     (担当校時の割り振りは予定)  
　　　　II校時 林　碩勲(RIM Seog-Hoon)
       III校時 上原　健
        IV校時 中原　徹

場所

数理科学科大セミナー室（理工学部6号館(DC棟)5階501号室）

連絡先

〒840-8502 佐賀市本庄町1 佐賀大学理工学部数理科学科
中原　徹 [nakahara＠]
TEL 0952-28-8521 　FAX 0952-28-8501