论文标题

有限的非J-平地大道基因生成的限制品种

Limit varieties generated by finite non-J-trivial aperiodic monoids

论文作者

Sapir, Olga B.

论文摘要

杰克逊(Jackson)和李(Lee)证明了某些六元素单体产生了一个基于遗产的品种$ \ mathbb e^1 $,其次级晶格包含一个无限的上升链。我们识别句法单体生成有限生成的$ \ mathbb e^1 $的亚变量,并证明其中一个有限的单体和某些七元素的单体可产生新的极限品种。

Jackson and Lee proved that certain six-element monoid generates a hereditarily finitely based variety $\mathbb E^1$ whose lattice of subvarieties contains an infinite ascending chain. We identify syntactic monoids which generate finitely generated subvarieties of $\mathbb E^1$ and show that one of these finite monoids together with certain seven-element monoid generates a new limit variety.

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