Các mô đun Baer t-dual và t-lifting

• Ngôn ngữ: vie
• Ký hiệu phân loại: 688.796 Other final products, and packaging technology
• Thông tin xuất bản: Vietnam Journal of Mathematics, 2014
• Mô tả vật lý: 159-169
• Bộ sưu tập: Metadata
• ID: 495432

Tóm tắt

The authors introduce the notions of t-lifting modules and t-dual Baer modules, which are generalizations of lifting modules. It is shown that an amply supplemented module M is t-lifting if and only if M is t-dual Baer and a t-K-module. the authors also prove that, over a right perfect ring R, every noncosingular right R-module is injective if and only if every right R-module is t-dual Baer if and only if every right R-module is t-lifting if and only if every injective right R-module is t-lifting.