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Subvarieties of the class of MS-algebras

Published online by Cambridge University Press:  14 November 2011

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

In a previous publication (1983), we defined a class of algebras, denoted by MS, which generalises both de Morgan algebras and Stone algebras. Here we describe the lattice of subvarieties of MS. This is a 20-element distributive lattice. We then characterise all the subvarieties of MS by means of identities. We also show that some of these subvarieties can be described in terms of three important subsets of the algebra. Finally, we determine the greatest homomorphic image of an MS-algebra that belongs to a given subvariety.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 1-2 , 1983 , pp. 157 - 169
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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