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research article

Injective Classes of Modules

Chachólski, Wojciech
•
Pitsch, Wolfgang
•
Scherer, Jérôme  
2013
Journal of Algebra and Its Applications

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.

  • Details
  • Metrics
Type
research article
DOI
10.1142/S0219498812501885
Author(s)
Chachólski, Wojciech
Pitsch, Wolfgang
Scherer, Jérôme  
Date Issued

2013

Published in
Journal of Algebra and Its Applications
Volume

12

Issue

04

Article Number

1250188

Subjects

injective classes

•

relative resolutions

•

smashing subcategories

•

localizing subcategories

•

Noetherian ring

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

Available on Infoscience
August 22, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/200003
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