Talk:Polynomial identity ring

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Exterior algebra[edit]

Exterior algebras do not in general satisfy xy + yx= 0 as polynomial identity. In fact the wedges in pairs of basis elements commute, so this fails as soon as there are four generators (leaving aside the question of whether there is an identity element). Charles Matthews (talk) 19:09, 30 January 2010 (UTC)[reply]

It should have been [[x,y],z]=xyz-xzz-zxy+zyz=0. Right?  franklin  19:32, 30 January 2010 (UTC)[reply]