Free modules and crossed modules of R-algebroids

AVCIOĞLU O., AKÇA İ. İ.

Turkish Journal of Mathematics, vol.42, no.6, pp.2863-2875, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1601-38
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2863-2875
  • Keywords: Crossed modules, Free modules, R-algebroid, R-category
  • Uşak University Affiliated: Yes

Abstract

In this paper, first, we construct the free modules and precrossed modules of R-algebroids. Then we introduce the Peiffer ideal of a precrossed module and use it to construct the free crossed module.