31 citations · 211 across the 34 of their papers we have counts for
6 papers · 1 filter
Ranks of ideals in inverse semigroups of difunctional binary relations
James East, Alexei Vernitski
The set D_n of all difunctional relations on an n element set is an inverse semigroup under a variation of the usual composition operation. We solve an open problem of Kudryavtseva…
Presentations for singular wreath products
Ying-Ying Feng, Asawer Al-Aadhami, Igor Dolinka +2
For a monoid and a subsemigroup of the full transformation semigroup , the wreath product is defined to be the semidirect product , with the coo…
Presentations for (singular) partition monoids: a new approach
James East
We give new, short proofs of the presentations for the partition monoid and its singular ideal originally given in the author's 2011 papers in J Alg and IJAC.
Presentations for rook partition monoids and algebras and their singular ideals
James East
We obtain several presentations by generators and relations for the rook partition monoids and algebras, as well as their singular ideals. Among other results, we also calculate th…
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…
The idempotent generated subsemigroup of the Kauffman monoid
Igor Dolinka, James East
We characterise the elements of the (maximum) idempotent generated subsemigroup of the Kauffman monoid in terms of combinatorial data associated to certain normal forms. We also ca…