Extensions of Simple Modules and the Converse of Schur’s Lemma
The converse of Schur’s lemma (or CSL) condition on a module category has been the subject of considerable study in recent years. In this note we extend that work by developing basic properties of module categories in which the CSL condition governs modules of finite length.
Mathematics Subject Classification (2000)Primary 16D90 16G20 16S50
KeywordsConverse of Schur’s Lemma Gabriel quiver
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- M. Dombrovskaya, G. Marks, Asymmetry in the converse of Schur’s Lemma, Comm. Algebra, to appear.Google Scholar