Người báo cáo: Le Van Thuyet , Hue University and VIASM
Thời gian: 9h00, thứ 4 ngày 21/05/2014
Địa điểm: Phòng 6 nhà A14 - Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà Nội
Tóm tắt: A ring R is called QF if R is right (or left) self-injective and satisfies ACC on right (or left) annihilators. In this talk, we obtain some properties of: - an ef-extending module M, i.e., every closed submodule which contains essentially a finitely generated submodule is a direct summand of M; or - every finitely generated right module is a direct sum of a projective module and a singular module. And then we give some characterizations of QF, right PF, right co-Harada rings via the classes of above modules. |
