Higher dimensional peiffer elements in simplicial commutative algebras
Theory and Applications of Categories, cilt.3, ss.1-23, 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.1-23
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
Let E be a simplicial commutative algebra such that E_n is generated by degenerate elements. It is shown that in this case the n∧th term of the Moore complex of E is generated by images of certain pairings from lower dimensions. This is then used to give a description of the boundaries in dimension n-1 for n = 2, 3, and 4.