51 citations · 125 across the 28 of their papers we have counts for
30 papers
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…
Words don't come easy: strong affine representations of the polycyclic monoids
Kristóf Varga, Tamás Waldhauser
Each one-dimensional strong affine representation of the polycyclic monoid is induced by a complete system of residues modulo . We completely characterize these…
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…
Associativity conditions for linear quasigroups and equivalence relations on binary trees
Erkko Lehtonen, Tamás Waldhauser
We characterise the bracketing identities satisfied by linear quasigroups with the help of certain equivalence relations on binary trees that are based on the left and right depths…
Associative spectra of graph algebras II. Satisfaction of bracketing identities, spectrum dichotomy
Erkko Lehtonen, Tamás Waldhauser
A necessary and sufficient condition is presented for a graph algebra to satisfy a bracketing identity. The associative spectrum of an arbitrary graph algebra is shown to be either…
Associative spectra of graph algebras I. Foundations, undirected graphs, antiassociative graphs
Erkko Lehtonen, Tamás Waldhauser
Associative spectra of graph algebras are examined with the help of homomorphisms of DFS trees. Undirected graphs are classified according to the associative spectra of their graph…