A Remark on Vanishing of Chain Complexes

Yuji Yoshino

doi:10.1007/s40306-015-0121-4

A Remark on Vanishing of Chain Complexes

Yuji Yoshino

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

1 Citation (Scopus)

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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10.1007/s40306-015-0121-4

Cite this

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title = "A Remark on Vanishing of Chain Complexes",

abstract = "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.",

keywords = "Commutative noetherian rings, Derived categories",

author = "Yuji Yoshino",

note = "Publisher Copyright: {\textcopyright} 2015, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.",

year = "2015",

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doi = "10.1007/s40306-015-0121-4",

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AU - Yoshino, Yuji

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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.

AB - 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.

KW - Commutative noetherian rings

KW - Derived categories

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A Remark on Vanishing of Chain Complexes

Abstract

Keywords

ASJC Scopus subject areas

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