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The finite basis problem for the semigroups of order-preserving mappings
Published online by Cambridge University Press: 14 November 2011
Abstract
Developing an approach of Repnitskii and Volkov, we focus on properties of semigroups of order-preserving mappings on finite chains; in particular, we show that the class of all these semigroups has no finite quasi-identity basis (although it has an infinite one).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 3 , 1999 , pp. 641 - 647
- Copyright
- Copyright © Royal Society of Edinburgh 1999
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