Seminar: The MacWilliams extending property and automorphism-invariant modules

Time:

Venue/Location: Phòng C101, VIASM

Báo cáo viên: PGS. Trương Công Quỳnh, Trường Đại học Sư phạm- Đại học Đà Nẵng 

Tóm tắt: In this talk, we study n-MacWilliams right R-modules. It is shown that (1) the MacWilliams extension property for n = 1 implies that M is an automorphism-invariant module (the converse holds if M is finitely cogenerated), (2) for n = 2, the MacWilliams extension property implies that M is quasi-injective which yields that if the matrix ring M_n(R) over a right finitely cogenerated ring R is right 1-MacWilliams, then R is also right 1-MacWilliams.