Abstract
ABSTRACTWeak-injective modules were defined as modules M for which holds for all modules N of weak dimension ≤1. They were studied over integral domains in several papers. Here we consider them over arbitrary commutative rings, especially their relations to h-divisible, pure-injective, absolutely pure, and flat modules. It turns out that they retain some of the features of the domain case even if the underlying rings admit zero-divisors, but several useful properties are not available any more.
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