Projective crossed modules of algebras and cyclic homology

ILGAZ ÇAĞLAYAN E.

Turkish Journal of Mathematics, vol.40, no.5, pp.995-1003, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 5
  • Publication Date: 2016
  • Doi Number: 10.3906/mat-1504-4
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.995-1003
  • Keywords: Crossed module of algebras, Cyclic homology, Free crossed module, Projective crossed module
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

In this work, we give a characterization of free crossed modules and also get a relation between projective crossed modules and the cyclic homology of associative algebras by using Hopf-type formulas.