On representable linearly compact modules (Q5915457)

This paper is the continuation of the study reviewed above [\textit{Nguyen Tu Cuong} and \textit{Tran Tuan Nam}, ibid. 28, No. 1, 87-91 (2000; Zbl 0976.13012)] of the properties of local homology modules \(H_i^I(M)\) for linearly compact modules \(M\). The authors prove that if \(F\) is \(R\)-flat, then \(\Hom_R (F,M)\) is linearly compact and that \(\text{Ext}_R^i (F,M)=0\) for all \(i>0\). They also show that if \(M\) is representable then \(\Hom_R (F;M)\) is also representable.