Self-injective commutative rings have no nontrivial rigid ideals

Haydee Lindo

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arXiv · 1710.01793

Self-injective commutative rings have no nontrivial rigid ideals

Haydee Lindo

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Abstract

We establish a link between trace modules and rigidity in modules over Noetherian rings. Using the theory of trace ideals we make partial progress on a question of Dao, and on the Auslander-Reiten conjecture over Artinian Gorenstein rings.

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Haydee Lindo. 2017-10-13. Self-injective commutative rings have no nontrivial rigid ideals. https://arxiv.org/abs/1710.01793

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