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arXiv · 1603.08576

Trace Ideals and Centers of Endomorphism Rings of Modules over Commutative Rings

Haydee Lindo
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Abstract

Let $R$ be a commutative Noetherian ring and $M$ a finitely generated $R$-module. Under various hypotheses, it is proved that the center of $\mbox{End}_R(M)$ coincides with the endomorphism ring of the trace ideal of $M$. These results are exploited to establish results for balanced and rigid modules, and to settle certain cases of a conjecture of Huneke and Wiegand.

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Haydee Lindo. 2016-03-28. Trace Ideals and Centers of Endomorphism Rings of Modules over Commutative Rings. https://arxiv.org/abs/1603.08576

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