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Weak-Injective Modules |
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| Authors: | Sang Bum Lee |
| Institution: | 1. Department of Mathematics Education , Sangmyung University , Seoul, South Korea sblee@smu.ac.kr |
| Abstract: | Pure-injective and RD-injective R-modules over domains R have been investigated by many authors. We introduce another class of R-modules, called weak-injective modules, which turn out to be useful in addressing several unanswered questions between the two classes of modules. We also find that this class is an envelope class over any domain, giving a partial answer to the existence of envelope classes in the hierarchy of injective and divisible modules. Communicated by I. Swanson. |
| Keywords: | Cover and envelope class Flat Projective and weak dimension Prüfer domains Pure-injective RD-injective and weak-injective modules Torsion-free modules and modules of weak dimension ≤1 |