Some acyclic relations in the lambda algebra

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

Journal

• Hiroshima mathematical journal

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

Hiroshima University

Codes

• NII Article ID (NAID)
110007524893
• NII NACSIS-CAT ID (NCID)
AA00664323
• Text Lang
ENG
• ISSN
00182079
• Data Source
NII-ELS

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