Non-trivial expansions of 1-transitive ordered theories

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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Publication Details

Journal
Kazakh mathematical journal.
Published
2024-09-12
DOI
https://doi.org/10.70474/kr0e1035
Primary Topic
Advanced Topology and Set Theory
Type
article
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article

Non-trivial expansions of 1-transitive ordered theories

Beibut Kulpeshov
Kazakh mathematical journal.
Advanced Topology and Set Theory
article

Non-trivial expansions of 1-transitive ordered theories

Beibut Kulpeshov
article en

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.

Kazakh mathematical journal.Vol. 22(1)
Institute of Mathematics and Mathematical Modeling (KZ)
Reduced inequalities
Openalex Percentile: Top 74%
Advanced Topology and Set Theory
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Non-trivial expansions of 1-transitive ordered theories — Beibut Kulpeshov · Kazakh mathematical journal. (2024) | TGRS Research Map | TGRS