The Exchange Property in Grothendieck Categories: Applications

Leonard Dăuş, C. Năstăsescu, M. Salim

Research output: Contribution to journalArticlepeer-review


We introduce the concept of an object with the (finite) exchange property in an arbitrary Grothendieck category, and we present the basic properties of such an object. Applications are given for categories of graded modules and for categories of comodules over a coalgebra. Among other results, it is proved that an arbitrary coalgebra 𝒞 over a field has the finite exchange property.

Original languageEnglish
Pages (from-to)1433-1442
Number of pages10
JournalCommunications in Algebra
Issue number4
Publication statusPublished - Apr 2 2016


  • Coalgebra
  • Exchange property
  • Graded module
  • Grothendieck category
  • Suitable ring

ASJC Scopus subject areas

  • Algebra and Number Theory


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