Some acyclic relations in the lambda algebra

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Author(s)

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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