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Pseudocomplements and strong pseudocomplements in lattices of module classes

Pseudocomplements and strong pseudocomplements in lattices of module classes

In this work, we consider the existence and construction of pseudocomplements in some lattices of module classes. The classes of modules belonging to these lattices are defined via closure under operations such as taking submodules, quotients, extensions, injective hulls, direct sums or products. We characterize the rings for which the …