Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

$\mathcal{X}$-injective and $\mathcal{X}$-projective complexes

Document Type : Research Paper

Authors
T. Özen
E. ‎Yıldırım
Department of Mathematics‎, ‎Abant Izzet Baysal University‎, Gölköy Kampüsü Bolu, Turkey.
Abstract
Let $\mathcal{X}$ be a class of $R$-modules‎. ‎In this paper‎, ‎we investigate \;$\mathcal{X}$-injective (projective) and DG-$\mathcal{X}$-injective (projective) complexes which are generalizations of injective (projective) and DG-injecti‎‎ve (projective) complexes‎. ‎We prove that some known results can be extended to the class of \;$\mathcal{X}$-injective (projective) and DG-$\mathcal{X}$-injective (projective) complexes for this general settings.
Keywords
Injective (Projective) complex‎
precover‎
preenvelope
Subjects
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Bulletin of the Iranian Mathematical Society
Volume 42, Issue 5 - Serial Number 5
October 2016
Pages 1221-1235

  • Receive Date 12 November 2014
  • Revise Date 06 August 2015
  • Accept Date 07 August 2015