Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-05T10:06:28.048Z Has data issue: false hasContentIssue false
  • English
  • Français

Perfect Dubreil-Jacotin semigroups*

Published online by Cambridge University Press:  14 February 2012

T. S. Blyth
T. S. Blyth
Affiliation:
Mathematical Institute, University of St Andrews
Get access Rights & Permissions [Opens in a new window]

Synopsis

We determine a set of conditions that are necessary and sufficient for an ordered regular semigroup to be a perfect Dubreil-Jacotin semigroup; and a necessary and sufficient condition for a perfect Dubreil-Jacotin semigroup to be orthodox.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 78 , Issue 1-2 , 1977 , pp. 101 - 104
Copyright
Copyright © Royal Society of Edinburgh 1977

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Blyth, T. S. and Janowitz, M. F.Residuation theory (Oxford: Pergamon, 1972).Google Scholar
2Blyth, T. S.Dubreil-Jacotin inverse semigroups. Proc. Roy. Soc. Edinburgh Sect. A 71 (1974), 345–360.Google Scholar
3Blyth, T. S.The structure of certain ordered regular semigroups. Proc. Roy. Soc. Edinburgh Sect. A 75 (1976), 235–257.CrossRefGoogle Scholar
4Blyth, T. S.On a class of Dubreil-Jacotin regular semigroups and a construction of Yamada. Proc. Roy. Soc. Edinburgh Sect. A, 77 (1977) 145–150.CrossRefGoogle Scholar
5McAliste, D. B.: and Blyth, T. S. Split orthodox semigroups. J. Algebra, to appear.Google Scholar