Browsing by Author "Jackson, Marcel"

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Agreeable semigroups

Jackson, Marcel; Stokes, Tim E. (2003)

This paper concerns the theory of partial maps under composition and more generally, the RC-semigroups introduced by Jackson and Stokes [Semigroup Forum 62 (2001) 279–310] (semigroups with a unary operation called (right) ...
Identities in the Algebra of Partial Maps

Jackson, Marcel; Stokes, Tim E. (World Scientific Publishing, 2006)

We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the ...
Modal restriction semigroups: towards an algebra of functions

Jackson, Marcel; Stokes, Tim E. (World Science, 2011)

Restriction semigroups model algebras of partial maps under composition and domain. Here we consider restriction semigroups for which the usual Boolean operations on domains are modeled. Such algebras are capable of modeling ...
On representing semigroups with subsemilattices

Jackson, Marcel; Stokes, Tim E. (Elsevier, 2013)

We examine the problem of representing semigroups as binary relations, partial maps and injective functions, with the constraint that certain pre-designated idempotent elements must be represented as restrictions of the ...
Partial maps with domain and range: extending Schein's representation

Jackson, Marcel; Stokes, Tim E. (Taylor & Francis, 2009)

The semigroup of all partial maps on a set under the operation of composition admits a number of operations relating to the domain and range of a partial map. Of particular interest are the operations R and L returning the ...