对有限半群局部可嵌入性的限制

Pub Date : 2024-04-17 DOI:10.1007/s00233-024-10427-9

Dmitry Kudryavtsev

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引用次数: 0

摘要

我们通过对非有限结构的研究，扩展了有限结构半群的局部可嵌入性（LEF）概念，这是与有限结构局部包裹性（LWF）和逆半群密切相关的概括性质。已取得的成果包括描述了统一双环单元和鲍姆斯拉德-索利特群的非 LEF 半群族，并证明了具有有限幂级数的逆 LWF 半群是 LEF。

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Restrictions on local embeddability into finite semigroups

We expand the concept of local embeddability into finite structures (LEF) for the class of semigroups with investigations of non-LEF structures, a closely related generalising property of local wrapping of finite structures (LWF) and inverse semigroups. The established results include a description of a family of non-LEF semigroups unifying the bicyclic monoid and Baumslag–Solitar groups and demonstrating that inverse LWF semigroups with finite number of idempotents are LEF.

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