Government officials in Astana, including the RIC and the human rights ombudsman, pledged to resolve the situation through dialogue, including a possible agreement to provide the Hare Krishnas with an alternate property.

Note that the bilinearity and alternating properties imply anticommutativity, i.e., for all elements x, y in , while anticommutativity only implies the alternating property if the field's characteristic is not 2.

To construct the most general algebra that contains V and whose multiplication is alternating on V, it is natural to start with the most general algebra that contains V, the tensor algebra T(V), and then enforce the alternating property by taking a suitable quotient.