Crossed squares and 2-crossed modules of commutative algebras

Arvasi Z.

Theory and Applications of Categories, cilt.3, ss.160-181, 1997 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3
  • Basım Tarihi: 1997
  • Dergi Adı: Theory and Applications of Categories
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.160-181
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we construct a neat description of the passage from crossed squares of commutative algebras to 2-crossed modules analogous to that given by Conduche in the group case. We also give an analogue, for commutative algebra, of T. Porter's simplicial groups to n-cubes of groups which implies an inverse functor to Conduche's one.