On classifying simplicial modules

ARVASİ Z., ILGAZ ÇAĞLAYAN E.

Communications in Algebra, cilt.52, sa.3, ss.945-959, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1080/00927872.2023.2255266
  • Dergi Adı: Communications in Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.945-959
  • Anahtar Kelimeler: (co)homology, Classifying simplicial module, crossed module, simplicial algebra, simplicial homotopy
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we prove that the classifying functors (Formula presented.) and (Formula presented.) are simplicially homotopy equivalent. Using this equivalency, we define classifying simplicial modules and give an alternative definition of (co)homology of crossed modules of algebras.