Injective classes of modules

Wojciech Chachólski, Wolfgang Pitsch, Jérôme Scherer

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. © 2013 World Scientific Publishing Company.
Original languageEnglish
Article number1250188
JournalJournal of Algebra and Its Applications
Volume12
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

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

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