Zhu Shenglin.A NOTE ON FULLER'S THEOREM[J].Chinese Annals of Mathematics B,1989,10(2):272~276
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Authors：
Zhu Shenglin;
Abstract：
In 1972, Fuller proved that a complete additive subcategory $\[{C_R}\]$ of R-Mod isequivalent to amodule category $\[\Delta \]$-Mod if and only if $\[{C_R} = Gen({U_R})\]$ for some quasiprogenerator $\[{U_R}\]$ and
$\[\Delta \cong \]$ and $\[{U_R}\]$ canonically. In this note the author gives a characterization of $\[{C_R}\]$ which makes $\[{U_R}\]$ a projective R-module in the case when R is a right perfect ring with identity, and shows that R-Mod is the unique complete additive subcategory of R-Mod which is equivalent to R-Mod for a left Artinian ring R.
