The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra
Let Λ be a hereditary Artin algebra andMa Λ-modulethat is both a generator and a cogenerator. We are going to describe the possibilities for the global dimension of End(M) in terms of the cardinalities of the Auslander–Reiten orbits of indecomposable Λ-modules.
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89-96
89-96
Academy of Science of the Royal Society of Canada c/o Carleton University, School of Mathematics and Statistics, Ottawa, ON