|
|||||
|
|
Weak-Injective Modules of Weak Dimension at Most One |
|
| Authors: | Sang Bum Lee |
| Institution: | 1. Department of Mathematics , Sangmyung University , Seoul, South Korea sblee@smu.ac.kr |
| Abstract: | We consider modules over integral domains R. A main purpose is to show that certain module properties assumed on R-modules of weak dimension ≤1 imply that these properties are shared by all modules in the category of R-modules. Also we prove several results involving modules of weak dimension ≤1. |
| Keywords: | Coherent domains Copure-flat modules Flat modules Matlis domains Matlis- Enochs- and Warfield-cotorsion modules Modules of weak dimension ≤1 Pure-injective Weak-injective |