Abstract
Kawadas's theorem solved the KSthe problem for basic finite-dimensional algebras: It characterizes completely those finite-dimensional algebras for which any indecomposable module has squarefree socle and squarefree top, and describes the possible indecomposable modules. This seems to be the most elaborate result of the classical representation theory (prior to the introduction of the new combinatorical and homological tools: quivers, partially ordered sets, vectorspace categories, AuslanderReiten sequences). However, apparently his work was not appreciated at that time.
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