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arXiv math/0612498math.GRmath.CT
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$\mathbf{LH} m \mathbf{V}$型伪簇局部性的结构方法

A structural approach to the locality of pseudovarieties of the form $\mathbf{LH} m \mathbf{V}$

Benjamin Steinberg

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。

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