Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-19T12:23:10.123Z Has data issue: false hasContentIssue false
  • English
  • Français

Small semigroup related structures with infinite properties

Published online by Cambridge University Press:  17 April 2009

Marcel Jackson
Marcel Jackson
Affiliation:
School of Mathematics and Physics, University of Tasmania, GPO Box 252-37, Hobart, Tas 7001, Australia, e-mail: marcel-j@hilbert.maths.utas.edu.au
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 525 - 527
Copyright
Copyright © Australian Mathematical Society 2000

References

REFERENCES

[1]Jackson, M., ‘Some undecidable embedding problems for finite semigroups’, Proc. Edinburgh Math. Soc. 42 (1999), 113–125.CrossRefGoogle Scholar
[2]Jackson, M., ‘Finite semigroups whose varieties have uncountably many subvarieties’, J. Algebra (to appear).Google Scholar
[3]Jackson, M., ‘The embeddability of ring and semigroup amalgams is undecidable’, (submitted).Google Scholar
[4]Jackson, M., ‘On locally finite varieties with undecidable equational theory’, (submitted).Google Scholar
[5]Jackson, M., ‘Small inherently nonfinitely based semigroups’, (submitted).Google Scholar
[6]Jackson, M., ‘The finite basis problem for finite Rees quotients of free monoids’, (submitted).Google Scholar
[7]Jackson, M. and Sapir, O., ‘Finitely based sets of words’, Internat. J. Algebra Comput. (to appear).Google Scholar
[8]Perkins, P., ‘Bases for equational theories of semigroups’, J. Algebra 11 (1969), 298–314.CrossRefGoogle Scholar
[9]Sapir, M.V., ‘Problems of Burnside type and the finite basis property in varieties of semigroups’, Math. USSR Izv. 30 (1988), 295–314.CrossRefGoogle Scholar
[10]Sapir, M.V., ‘Inherently nonfinitely based finite semigroups’, Mat. Sb. (N.S.) 133 (1987), 154–166.Google Scholar
[11]Sapir, M.V., ‘Eventually ℌ-related sets and systems of equations over finite semigroups and rings’, J. Algebra 183 (1996), 365–377.CrossRefGoogle Scholar
[12]Sapir, O., Identities of finite semigroups and related questions, Ph.D. Thesis (University of Nebraska, 1997).Google Scholar
[13]Volkov, M.V., ‘The finite basis problem for finite semigroups: a survey’ (to appear).Google Scholar
[14]Wells, B., ‘Pseudorecursive varieties of semigroups - I’, Internat. J. Algebra Comput. 6 (1996), 457–510.CrossRefGoogle Scholar