5 citations · 16 across the 17 of their papers we have counts for
5 papers · 1 filter
The Lascar groups and the 1st homology groups in model theory
Jan Dobrowolski, Byunghan Kim, Junguk Lee
Let be a strong type of an algebraically closed tuple over $B=\acl^{\eq}(B)$ in any theory . Depending on a ternary relation $\indo^*$ satisfying some basic axioms (there is…
Some arithmetic properties on nonstandard rationals
Junguk Lee
For a given number field , we show that the ranks of nonsingular elliptic curves over are uniformly finitely bounded if and only if weak Mordell-Weil property holds in all(s…
Non-commutative groupoids obtained from the failure of -uniqueness in stable theories
Byunghan Kim, SunYoung Kim, Junguk Lee
We construct a possibly non-commutative groupoid from the failure of -uniqueness of a strong type. The commutative groupoid constructed by John Goodrick and Alexei Kolesnikov in…
Lascar groups and the first homology groups of strong types in rosy theories
Junguk Lee
For a rosy theory, we give a canonical surjective homomorphism from a Lascar group over $A=\acl^{eq}(A)$ to a first homology group of a strong type over , and we describe its ke…
A classification of 2-chains having 1-shell boundaries in rosy theories
Byunghan Kim, SunYoung Kim, Junguk Lee
We classify, in a non-trivial amenable collection of functors, all 2-chains up to the relation of having the same 1-shell boundary. In particular, we prove that in a rosy theory, e…