2-Algebras and Simplicial Commutative Algebras

AKÇA İ. İ., Arslan U. E.

Konuralp Journal of Mathematics, cilt.14, sa.1, ss.163-168, 2026 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2026
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.163-168
  • Anahtar Kelimeler: 2-categories, Crossed modules, Homotopy
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In [1] it was defined the notion of 2-algebra as a categorification of algebras, and shown that the category of strict 2-algebras is equivalent to the category of crossed modules in commutative algebras. In this paper we show that the category of strict 2-algebras is equivalent to the category of simplicial algebras with Moore complex of length 1.