M-$${\mathcal{}}$$-Injective (Flat) and Strongly $${\mathcal{B}}$$B-Injective (Flat) Modules |
| |
Authors: | Tahire Özen |
| |
Institution: | 1.Department of Mathematics,Abant??zzet Baysal University,G?lk?y Kampüsü,Turkey |
| |
Abstract: | Let M be a left R-module, \({\mathcal{A}}\)be a family of some submodules of M and \({\mathcal{B}}\)be a family of some left R-modules. In this article, we introduce and characterize \({\mathcal{A}}\)-coherent, \({P\mathcal{A}}\), \({F\mathcal{A}}\), M-\({\mathcal{A}}\)-injective (flat) and strongly \({\mathcal{B}}\)-injective (flat) modules, which are generalizations of coherent, PS, FS, M-injective (flat) and strongly M-injective modules, respectively. We extend some known results to this general structure. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|