2 papers
math.RA2026
-congruences on -inverse monoids
Ajda Lemut Furlani
We study the class of congruences on -inverse monoids that respect the unary operation $a\mapsto\mx{a}$, assigning to each element the maximum element of its -class, which we…
math.RA2025
The free -restriction semigroups
Ganna Kudryavtseva, Ajda Lemut Furlani
We provide a geometric model for the free -generated -restriction semigroup in the extended signature $(\cdot\,, ^+,\mx{},λ)$, where the unary operation $\mx{}$ maps an elem…