Augmentation ideal
= Augmentation ideal
{wiki=Augmentation_ideal}
In the context of algebra, particularly in ring theory and module theory, an **augmentation ideal** is a specific ideal associated with a group ring or a similar algebraic structure. \#\#\# Definition 1. **Group Ring Context**: If \\( k \\) is a field and \\( G \\) is a group, the group ring \\( k\[G\] \\) consists of formal sums of elements of \\( G \\) with coefficients in \\( k \\).