closure operator 1lattice theory 1polycyclic monoid 1primitive words 1strong affine representation 1
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math.RA2026
Words don't come easy: strong affine representations of the polycyclic monoids
Kristóf Varga, Tamás Waldhauser
The paper classifies all one‑dimensional strong affine representations of the polycyclic monoid by linking them to complete residue systems modulo n, introduces a closure operator…
math.RA2025
Irreducible Polyadic Semigroups Admitting the Adjunction of a Neutral Element
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
It was claimed in [4] that for any integer , a neutral element can be adjoined to an -ary semigroup if and only if the -ary semigroup is reducible to a binary s…