Interpreting the action of the endomorphism monoid of the rationals
| Autor: | Edith Vargas-García, John K. Truss |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Monoid
Pure mathematics Rational number Endomorphism Logic 010102 general mathematics 0102 computer and information sciences Mathematics - Logic First order 01 natural sciences Action (physics) Set (abstract data type) 010201 computation theory & mathematics Mathematics::Category Theory FOS: Mathematics 0101 mathematics Algebra over a field Logic (math.LO) Analysis Computer Science::Databases Mathematics 08A35 |
| Popis: | In this paper, we define the action of $M$, the monoid of embeddings of $({\mathbb Q}, \le)$, on $\mathbb Q$, in the monoid $(M, \circ)$. That is, we show that $\mathbb Q$ itself can be interpreted in $(M, \circ)$, and in addition, so can the action of $M$ on $\mathbb Q$. This is extended to the monoid $E$ of all endomorphisms of $({\mathbb Q}, \le)$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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