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Σ-semi-compact rings and modules

Σ-semi-compact rings and modules

In this paper several characterizations of semi-compact modules are given. Among other results, we study rings whose semi-compact modules are injective. We introduce the property $Σ$-semi-compact for modules and we characterize the modules satisfying this property. In particular, we show that a ring $R$ is left $Σ$-semi-compact if and only …