The Gap Between Partial and Full-Reference-Cited by-同舟云学术

The Gap Between Partial and Full

Published:1998-06 Issue:03 Volume:08 Page:399-430
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Almeida J.¹,Volkov M. V.²

Affiliation:

1. Departamento de Matemática Pura, Faculdade de Ciências, Universidade do Porto, 4050 Porto, Portugal

2. Department of Mathematics and Mechanics, Ural State University, 620083 Ekaterinburg, Russia

Abstract

We show that the interval of the lattice of semigroup pseudovarieties between the pseudovarieties generated by all semigroups of full and respectively, partial, order-preserving transformations of a finite chain, contains a chain isomorphic to the chain of real numbers (with the usual order). Similar results are proved for several related intervals.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196798000193

Reference9 articles.

1. Monoids Respectingn-Chains of Intervals

2. The dot-depth hierarchy of star-free languages is infinite

3. PARTIAL CROSS-SECTIONS OF SYMMETRIC INVERSE SEMIGROUPS

4. Semigroups of order preserving mappings on a finite chain: A new class of divisors

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