Extensions of Simple Modules and the Converse of Schur's Lemma
Rings and Algebras
2019-06-27 v2
Abstract
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.
Cite
@article{arxiv.0903.2490,
title = {Extensions of Simple Modules and the Converse of Schur's Lemma},
author = {Greg Marks and Markus Schmidmeier},
journal= {arXiv preprint arXiv:0903.2490},
year = {2019}
}
Comments
8 pages, no figures, to appear, Proceedings of the International Conference on Algebra and its Applications, Ohio University, Athens, Ohio, June 18-21, 2008 (Birkh\"auser). Expository changes suggested by referee have been incorporated