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math.LO2026
A hyperamalgamation property
Paolo Lipparini
The superamalgamation property is a strengthening of the amalgamation property and has found many applications in algebraic logic, more recently, also in model theory. Here we intr…
math.LO2026
Ordinal semigroups
Paolo Lipparini
In a previous paper we introduced a version of associativity for a partial infinitary operation. We prove here that if is an infinite ordinal and some associative infinitary op…
math.LO2025
Monotone infinitary operations on ordinals (extended version)
Paolo Lipparini
We define and study an -ary operation on the class of the ordinals, which is strictly monotone in many significant cases (by an elementary argument, there is no fully strictly…