Bibliographic Details
| Title: |
Equational Theory of Ordinals with Addition and Left Multiplication by ω. |
| Authors: |
Choffrut, Christian1 |
| Source: |
Fundamenta Informaticae. 2025, Vol. 194 Issue 1, p1-11. 11p. |
| Subjects: |
Ordinal numbers, Addition (Mathematics), Multiplication, Mathematical logic, Algebraic field theory |
| Abstract: |
We show that the equational theory of the structure (ωω : (x, y) 7→ x+y, x 7→ ωx) is finitely axiomatizable and give a simple axiom schema when the domain is the set of transfinite ordinals. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |