A Remark on Vanishing of Chain Complexes

Yuji Yoshino

Research output: Contribution to journal › Article

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.

Original languageEnglish
Pages (from-to)173-177
Number of pages5
JournalActa Mathematica Vietnamica
Volume40
Issue number1
DOIs
Publication statusPublished - Mar 1 2015

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Derived Category
Noetherian Ring
Commutative Ring
Research and Development
If and only if

Keywords

  • Commutative noetherian rings
  • Derived categories

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A Remark on Vanishing of Chain Complexes. / Yoshino, Yuji.

In: Acta Mathematica Vietnamica, Vol. 40, No. 1, 01.03.2015, p. 173-177.

Research output: Contribution to journal › Article

Yoshino, Y 2015, 'A Remark on Vanishing of Chain Complexes', Acta Mathematica Vietnamica, vol. 40, no. 1, pp. 173-177. https://doi.org/10.1007/s40306-015-0121-4
Yoshino Y. A Remark on Vanishing of Chain Complexes. Acta Mathematica Vietnamica. 2015 Mar 1;40(1):173-177. https://doi.org/10.1007/s40306-015-0121-4
Yoshino, Yuji. / A Remark on Vanishing of Chain Complexes. In: Acta Mathematica Vietnamica. 2015 ; Vol. 40, No. 1. pp. 173-177.
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