Crossed squares and 2-crossed modules of commutative algebras
Theory and Applications of Categories, cilt.3, ss.160-181, 1997 (SCI-Expanded, Scopus)
- 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.