Higher Dimensional Peiffer Elements in Simplicial Commutative Algebras
Abstract:
Let E be a simplicial commutative algebrasuch 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.
