Abstract
The purpose of this note is to provide a correct proof of the fact that there exist finite completely simple semigroups having no finite basis of identities.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bryant, R.M.: The laws of finite pointed groups. Bull. London Math. Soc. 14, 119–123 (1982)
Mashevitzky, G.I.: On bases of completely simple semigroups identities. Semigroup Forum 30, 67–76 (1984)
Petrich, M., Reilly, N.R.: Completely Regular Semigroups. Wiley, New York (1999)
Shevrin, L.N., Volkov, M.V.: Identities of semigroups. Izv. Vyssh. Uchebn. Zaved. Mat. (11), 3–47 (1985) (in Russian)
Volkov, M.V.: The finite basis problem for finite semigroups. Sci. Math. Jpn. 53, 171–199 (2001)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Marcel Jackson.
Rights and permissions
About this article
Cite this article
Kad’ourek, J. On finite completely simple semigroups having no finite basis of identities. Semigroup Forum 97, 154–161 (2018). https://doi.org/10.1007/s00233-017-9907-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00233-017-9907-0