The direct-sum-of-uniforms conjecture for finitely generated injective modules

Let EE be a finitely generated injective module such that every quotient of EE is injective.

Direct-sum-of-uniforms conjecture. EE is a direct sum of uniform modules.

This conjecture generalizes the result established in the paper for right hereditary rings with finitely generated injective hulls. Its status is not resolved in the supplied text.

Sources & referencesView supporting material

Primary source

H. Q. Dinh, P. A. Guil Asensio and S. R. Lopez-Permouth, “On the Goldie Dimension of Hereditary Rings and Modules”, arXiv:math/0512337 (2005).

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