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The finite basis problem for pseudovariety

  • Published:1998 Issue:3 Volume:128 Page:661-669
  • ISSN:0308-2105
  • Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • language:en
  • Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Repnitskiǐ V. B.,Volkov M. V.

Abstract

We show that the pseudovariety generated by all semigroups of order-preserving transformations of a finitechain has no finite pseudoidentity basis.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Historical Overview and Main Results;Advances in the Theory of Varieties of Semigroups;2022-08-27

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3. On orientation-preserving transformations of a chain;Communications in Algebra;2021-01-21

4. The Rank of the Semigroup of All Order-Preserving Transformations on a Finite Fence;Bulletin of the Malaysian Mathematical Sciences Society;2018-01-31

5. On semigroups of endomorphisms of a chain with restricted range;Semigroup Forum;2013-11-14
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