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math.LO2026
On 2-generated minimal Taylor algebras of size 4
Zarathustra Brady, Petar Đapić, Vukašin Đinović +4
We prove that any 2-generated minimal Taylor algebra on a domain of size 4 is not simple. In addition, we find all such algebras up to isomorphism and term-equivalence.
math.LO2024
Fraïssé's Conjecture and big Ramsey degrees of structures admitting finite monomorphic decomposition
Dragan Mašulović, Veljko Toljić
In this paper we show that a countable structure admitting a finite monomorphic decomposition has finite big Ramsey degrees if and only if so does every monomorphic part in its min…