A Remark on Vanishing of Chain Complexes

Yuji Yoshino

doi:10.1007/s40306-015-0121-4

A Remark on Vanishing of Chain Complexes

Research output: Contribution to journal › Article › peer-review

Abstract

For chain complexes W∈^Dfg±(R) and X ∈ D(R) in the derived category over a commutative noetherian ring R, we prove that RHom_R(W, X) = 0 if and only if W^L⊗_RX = 0.

Original language	English
Pages (from-to)	173-177
Number of pages	5
Journal	Acta Mathematica Vietnamica
Volume	40
Issue number	1
DOIs	https://doi.org/10.1007/s40306-015-0121-4
Publication status	Published - Mar 1 2015

Keywords

Commutative noetherian rings
Derived categories

ASJC Scopus subject areas

Mathematics(all)

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N2 - For chain complexes W∈Dfg±(R) and X ∈ D(R) in the derived category over a commutative noetherian ring R, we prove that RHomR(W, X) = 0 if and only if WL⊗RX = 0.

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A Remark on Vanishing of Chain Complexes

Abstract

Keywords

ASJC Scopus subject areas

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