From the 1 of 4 linked papers with an AI index.
4 papers
Irreducibility of Endomorphisms of Finitely Generated Free Semigroups
Paul C. Bell, Eva Foster, Daniel Reidenbach
The paper studies when endomorphisms of finitely generated free semigroups can be nontrivially decomposed into a composition of other endomorphisms, introducing a notion of irreduc…
The insertion encoding of restricted growth functions
Christian Bean, Paul C. Bell, Abigail Ollson
We adapt the vertical and horizontal insertion encodings of Cayley permutations to enumerate restricted growth functions, which are in bijection with unordered set partitions. For…
The insertion encoding of Cayley permutations
Christian Bean, Paul C. Bell, Abigail Ollson
We introduce the vertical and horizontal insertion encodings for Cayley permutations which naturally generalise the insertion encoding for permutations. In both cases, we fully cla…
On Word Representations and Embeddings in Complex Matrices
Paul C. Bell, George Kenison, Reino Niskanen +2
Embeddings of word structures into matrix semigroups provide a natural bridge between combinatorics on words and linear algebra. However, low-dimensional matrix semigroups impose s…