论文标题
限制$ j $ - 琐碎的单型的品种
Limit varieties of $J$-trivial monoids
论文作者
论文摘要
我们表明，Gusev，Zhang和Luo最近发现的限制多种类型及其子变量是由$m_τ（w）$的单体生成的，以$m_τ（w）$ for某些一致性$τ$。构建$m_τ（w）$是广泛使用的Dilworth-Perkins结构的概括。使用这种结构，我们发现了Gusev限制品种的显式发电机，并对Zhang-Luo限制品种非绝对基础的事实进行了简短的责备。
We show that limit varieties of monoids recently discovered by Gusev, Zhang and Luo and their subvarieties are generated by monoids of the form $M_τ(W)$ for certain congruences $τ$ on the free monoid. The construction $M_τ(W)$ is a generalization of widely used Dilworth-Perkins construction. Using this construction, we find explicit generators for Gusev limit varieties and give a short reproof to the fact that Zhang-Luo limit variety is non-finitely based.
