Higher dimensional peiffer elements in simplicial commutative algebras

Arvasi Z., Porter T.

Theory and Applications of Categories, cilt.3, ss.1-23, 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.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.