Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102351
Title: The finite basis problem for Kauffman monoids
Authors: Auinger, K.
Chen, Y.
Hu, X.
Luo, Y.
Volkov, M. V.
Issue Date: 2015
Publisher: Birkhauser Verlag AG
Citation: The finite basis problem for Kauffman monoids / K. Auinger, Y. Chen, X. Hu, et al. — DOI 10.1007/s00012-015-0356-x // Algebra Universalis. — 2015. — Vol. 74. — Iss. 3-4. — P. 333-350.
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 Kn are nonfinitely based for each n≥3. This result holds also for the case when Kn is considered as an involution semigroup under either of its natural involutions. © 2015, Springer Basel.
Keywords: FINITE BASIS PROBLEM
INVOLUTION SEMIGROUP
KAUFFMAN MONOID
REES MATRIX SEMIGROUP
SEMIGROUP
SEMIGROUP IDENTITY
VARIETY
WIRE MONOID
URI: http://hdl.handle.net/10995/102351
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 84942192414
PURE ID: 297855
ee226ab2-2f41-45be-a8e1-930801f18950
ISSN: 25240
DOI: 10.1007/s00012-015-0356-x
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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