Non-trivial expansions of 1-transitive ordered theories

Authors

DOI:

https://doi.org/10.70474/kr0e1035

Keywords:

1-transitivity, convexity rank, expansion of a theory, ordered theory, rank for family of theories, Weak o-minimality

Abstract

Here we study non-trivial expansions of 1-transitive ordered theories preserving 1-transitivity. In particular, expansions of weakly o-minimal linear orderings by equivalence relations, unary functions and arbitrary binary relations were investigated. On the base of the obtained results values of ranks for various families of weakly o-minimal theories were found.

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References

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Kazakh Mathematical Journal 22(1), 2022

Published

2024-09-12

How to Cite

Non-trivial expansions of 1-transitive ordered theories. (2024). Kazakh Mathematical Journal, 22(1), 44-55. https://doi.org/10.70474/kr0e1035

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