Abstract
It is shown that the monoid En of extensive transformations of a chain of order n is hereditarily finitely based if and only if n ≤ 3. It follows that the submonoid OEn of order-preserving transformations in En is also hereditarily finitely based if and only if n ≤ 3.
Original language | American English |
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Pages (from-to) | 31–58 |
Journal | Algebra Universalis |
Volume | 61 |
Issue number | 1 |
DOIs | |
State | Published - Oct 2009 |
ASJC Scopus Subject Areas
- Algebra and Number Theory
Keywords
- Semigroup
- Monoid
- Transformation
- Extensive
- Order-preserving
- Finitely based
- Hereditarily finitely based
Disciplines
- Mathematics