Extensions of Simple Modules and the Converse of Schur's Lemma

Mathematics – Rings and Algebras

Scientific paper

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8 pages, no figures, to appear, Proceedings of the International Conference on Algebra and its Applications, Ohio University,

Scientific paper

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.

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