nLab
dg-ideal

A dg-ideal JA is an alternative name for an ideal in a dg-algebra A, i.e. a A-A-dg-subbimodule of A. Of course, one can also talk about one-sided ideals.

This means that J is a graded sub-vector space that is closed under product by element in A from either side, and closed under acting with the differential.

Revised on September 25, 2009 18:24:09 by Zoran Škoda (192.68.254.7)