$\mathbf{LH} m \mathbf{V}$型伪簇局部性的结构方法
A structural approach to the locality of pseudovarieties of the form $\mathbf{LH} m \mathbf{V}$
摘要:
证明了如果$\mathbf H$是Fitting伪簇群,$\mathbf V$是么半群的局部伪簇群,则$\mathbf {LH}m \mathbf V$是局部的,如果$\mathbf V$包含六元Brandt么半群,或者$\mathbf H$是扩张闭群的非平凡伪簇群.
英文摘要:
We show that if $\mathbf H$ is a Fitting pseudovariety of groups and $\mathbf V$ is a local pseudovariety of monoids, then $\mathbf {LH}m \mathbf V$ is local if either $\mathbf V$ contains the six element Brandt monoid, or $\mathbf H$ is a non-trivial pseudovariety of groups closed under extension.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。