# Some acyclic relations in the lambda algebra

## 抄録

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 $\gamma=(h_{e+r})^r$.

## 収録刊行物

• Hiroshima mathematical journal

Hiroshima mathematical journal 34(2), 147-160, 2004-07

広島大学

## 各種コード

• NII論文ID(NAID)
110007524893
• NII書誌ID(NCID)
AA00664323
• 本文言語コード
ENG
• ISSN
00182079
• データ提供元
NII-ELS

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