The Finite Basis Problem for Kauffman Monoids

2014/05/05 by Auinger, Karl, Chen, Yuzhu, Hu, Xun +2 · 2 citations
#20M07 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1405.0783

Abstract

We prove a sufficient condition under which a semigroup admits no finite identity basis. As an application, it is shown that the identities of the Kauffman monoid K_n are nonfinitely based for each n≥ 3. This result holds also for the case when K_n is considered as an involution semigroup under either of its natural involutions.

Cited by

• Presentations for semigroups of full-domain partitions
• Twisted products of monoids

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