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Acta Mathematica Vietnamica

Comparisons Between Annihilators of Tor and Ext

Souvik Dey , icon-email Ryo Takahashi

Abstract

In this paper, we compare annihilators of Tor and Ext modules of finitely generated modules over a commutative noetherian ring. For local Cohen–Macaulay rings, one of our results refines a theorem of Dao and Takahashi.