Homology, Homotopy and Applications

Volume 12 (2010)

Number 1

Support and injective resolutions of complexes over commutative rings

Pages: 39 – 44

DOI: https://dx.doi.org/10.4310/HHA.2010.v12.n1.a4

Authors

Xiao-Wu Chen (Department of Mathematics, University of Science and Technology of China, Hefei, China)

Srikanth B. Iyengar (Department of Mathematics, University of Nebraska, Lincoln, Neb., U.S.A.)

Abstract

Examples are given to show that the support of a complex of modules over a commutative noetherian ring may not be read off the minimal semi-injective resolution of the complex. The same examples also show that a localization of a semi-injective complex need not be semi-injective.

Keywords

support, injective resolution, localization

2010 Mathematics Subject Classification

13D02

Published 1 January 2010