Self-injective commutative rings have no nontrivial rigid ideals
classification
🧮 math.AC
math.RT
keywords
ringsidealsmodulestraceartinianauslander-reitencommutativeconjecture
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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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