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Subdirectly irreducible double MS-algebras

Published online by Cambridge University Press:  14 November 2011

T. S. Blyth
Affiliation:
Mathematical Institute, University of St Andrews
J. C. Varlet
Affiliation:
Institut de Mathématique, Université de Liège, B-4000 Liège, Belgium

Synopsis

We prove that there are 22 non-isomorphic subdirectly irreducible double MS-algebras and give a complete description of them.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

1Blyth, T. S. and Varlet, J. C.. On a common abstraction of de Morgan algebras and Stone algebras. Proc. Roy. Soc. Edinburgh Sect. A 94 (1983), 301308.CrossRefGoogle Scholar
2Blyth, T. S. and Varlet, J. C.. Subvarieties of the class of MS-algebras. Proc. Roy. Soc. Edinburgh Sect. A 95 (1983), 157169.CrossRefGoogle Scholar
3Blyth, T. S. and Varlet, J. C.. Double MS-algebras. Proc. Roy. Soc. Edinburgh Sect. A 98 (1984), 3747.CrossRefGoogle Scholar