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The determination of all varieties consisting of absolutely closed semigroups

Author: P. M. Higgins
Journal: Proc. Amer. Math. Soc. 87 (1983), 419-421
MSC: Primary 20M07
MathSciNet review: 684630
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Abstract: An example is given of a right normal band that is not absolutely closed. This enables us to determine all varieties of semigroups that consist entirely of absolutely closed semigroups.

References [Enhancements On Off] (What's this?)

  • [1] A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, Math. Surveys, No. 7, Amer. Math. Soc., Providence, R.I., Vol. I, 1961; Vol. II, 1967.
  • [2] T. E. Hall, Epimorphisms and dominions, Semigroup Forum 24 (1982), 271-283. MR 650576 (83e:20075)
  • [3] J. M. Howie, An introduction to semigroup theory, London Math. Soc. Monographs 7, Academic Press, New York, 1976. MR 0466355 (57:6235)
  • [4] J. M. Howie and J. R. Isbell, Epimorphisms and dominions. II, J. Algebra 6 (1967), 7-21. MR 0209203 (35:105b)
  • [5] J. R. Isbell, Epimorphisms and dominions, Proc. Conf. Categorical Algebra (La Jolla, 1965), Lange & Springer, Berlin, 1966, 232-246. MR 0209202 (35:105a)

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Article copyright: © Copyright 1983 American Mathematical Society

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