Injective classes of modules

Wojciech Chachólski*, Wolfgang Pitsch, Jérôme Scherer

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

We study classes of modules over a commutative ring which allow to do homological algebra relative to such a class. We classify those classes consisting of injective modules by certain subsets of ideals. When the ring is Noetherian the subsets are precisely the generization closed subsets of the spectrum of the ring.

Original languageAmerican English
Article number1250188
JournalJournal of Algebra and Its Applications
Volume12
Issue number4
DOIs
Publication statusPublished - Jun 2013

Keywords

  • Injective classes
  • localizing subcategories
  • Noetherian ring
  • relative resolutions
  • smashing subcategories

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