... vbynt+bt.Nowsupposet ∈ K and t = l.Then t/∈ I and (5.6)yieldscnlltynlt= vbynt+bt. (5.7)Thus if t>l,thennl<nt,andsoclt= 0. Next suppose t ∈ I and t = l.Thent/∈ K and (5.6)yieldsunlayanlt= ... necessary to analyze the elements dl and δlin terms of the vector space basis above,noting thatl and δlare decomposable and that |dl|=|zl| +1 and |δl|=|yl|.Nowδlmay contain ... H∗(X) and have the same degree) and generators z1, , zswith |zi|=|yi|ni− 1. Thenᏹ= Λx1, , xr,z1, , zs⊗Py1, , ys, (5.1)with|xi| and |zi| odd and |yi|...