closure operator 1lattice theory 1polycyclic monoid 1primitive words 1strong affine representation 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.HO2026
Group Theory in School Mathematics? Teaching Permutation Cycles Through the 15-Puzzle
Bence Torma, Tamás Waldhauser
Permutation cycles are generally associated with undergraduate abstract algebra. This exploratory study examined whether students in Grades 5-11 could construct and use cycle repre…
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…