Title: Some acyclic relations in the lambda algebra
Author: Mizuho Hikida
Author's e-mail address: hikida@bus.hiroshima-pu.ac.jp
Author's mailing address: Hiroshima Prefectural University, Shobara-shi, 727-0017, Japan
AMS Classification numbers: 55Q40
Abstract: We consider the relations omega gamma = 0 in Lambda, and 
show that if omega alpha = 0 then alpha = gamma beta for some beta. 
These relations give the acyclic chain complex 

Lambda -gamma-> Lambda -omega-> Lambda . 

We consider various cases, e.g. omega = lambda_n and gamma = lambda_{2n+1}.
Especially, we consider the case omega = w_n = d lambda_n for 
n=2^{e+r} + 2^{e}-1, where gamma = (h_{e+r})^r.