3 papers
math.CO2026
Hall's universal group does not have finite big Ramsey degrees
Dragan MaÅ¡uloviÄ, Dragan Mašulović, Veljko ToljiÄ +1
In this paper we show that the Hall's universal group does not have finite big Ramsey degrees. Our strategy consists of piggybacking on the recent result of Hubička, Konečný, Todor…
math.LO2026
Fraïssé's Conjecture and big Ramsey degrees of structures admitting finite monomorphic decomposition
Dragan MaÅ¡uloviÄ, Veljko ToljiÄ
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…
math.LO2026
On 2-generated minimal Taylor algebras of size 4
Zarathustra Brady, Petar ÄapiÄ, VukaÅ¡in ÄinoviÄ +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.