54
Views
17
CrossRef citations to date
0
Altmetric
Online First Articles

Finitely based finite involution semigroups with non-finitely based reducts

Pages 217-243 | Received 15 May 2014, Published online: 08 Oct 2015

References

  • K. Auinger, I. Dolinka, T.V. Pervukhina and M.V. Volkov, Unary enhancements of inherently non-finitely based semigroups, Semigroup Forum 89 (2014), 41–51.
  • K. Auinger, I. Dolinka and M.V. Volkov, Matrix identities involving multiplication and transposition, J. Eur. Math. Soc. 14 (2012), 937–969.
  • M. Jackson and M.V. Volkov, The algebra of adjacency patterns: Rees matrix semigroups with reversion, In: Fields of logic and computation, pp. 414–443, Lecture Notes in Comput. Sci., Vol. 6300, Springer, Berlin, 2010.
  • E.I. Kle˘ıman, Bases of identities of varieties of inverse semigroups, Siberian Math. J. 20 (1979), 530–543; translation of Sibirsk. Mat. Zh. 20 (1979), 760–777.
  • E.W.H. Lee, A sufficient condition for the non-finite basis property of semigroups, Monatsh. Math. 168 (2012), 461–472.
  • E.W.H. Lee, Finite basis problem for semigroups of order five or less: generalization and revisitation, Studia Logica 101 (2013), 95–115.
  • E.W.H. Lee, A class of finite semigroups without irredundant bases of identities, Yokohama Math. J., to appear.
  • E.W.H. Lee, Finite involution semigroups with infinite irredundant bases of identities, Forum Math., to appear.
  • E.W.H. Lee, J.R. Li and W.T. Zhang, Minimal non-finitely based semigroups, Semigroup Forum 85 (2012), 577–580.
  • M.V. Sapir, Identities of finite inverse semigroups, Internat. J. Algebra Comput. 3 (1993), 115–124.
  • A.N. Trahtman, Finiteness of identity bases of five-element semigroups, In: Semigroups and Their Homomorphisms, E.S. Lyapin, ed., pp. 76–97, Ross. Gos. Ped. Univ., Leningrad, 1991. (Russian)
  • M.V. Volkov, The finite basis problem for finite semigroups, Sci. Math. Jpn. 53 (2001), 171–199.
  • W.T. Zhang and Y.F. Luo, A new example of a minimal nonfinitely based semigroup, Bull. Aust. Math. Soc. 84 (2011), 484–491.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.