2 papers
math.RA2026
Faithful linear and relational representations of diagram categories and monoids
James East, Marianne Johnson, Mark Kambites
We study representations of diagram categories by binary relations and matrices over rings and semirings. Our main result is a faithful involutive tensor representation of the part…
math.GR2026
Computing Embeddings and Isomorphisms of Finite Semigroups
James East, Attila Egri-Nagy, Andrew R. Francis +1
Semigroup theory is a branch of abstract algebra, and it provides mathematical tools for the theory of computation. Finite semigroups can describe state transition systems and thus…