Comparisons between Annihilators of Tor and Ext
Souvik Dey, Ryo Takahashi
TL;DR
This paper compares the annihilators of Tor and Ext modules over commutative noetherian rings, providing refined results for local Cohen--Macaulay rings and advancing understanding of module theory.
Contribution
It offers new insights into the relationship between annihilators of Tor and Ext, refining existing theorems for Cohen--Macaulay rings.
Findings
Refined a theorem of Dao and Takahashi for Cohen--Macaulay rings
Established new relationships between annihilators of Tor and Ext
Enhanced understanding of module annihilators in commutative algebra
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Combinatorial Mathematics