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math.GR2019★ 1 cited
Representations of inverse semigroups in complete atomistic inverse meet-semigroups
D. G. FitzGerald
As an appropriate generalisation of the features of the classical (Schein) theory of representations of inverse semigroups in , a theory of representations of inve…
math.GR2018
Groupoids on a skew lattice of objects
D. G. FitzGerald
Motivated by some alternatives to the classical logical model of boolean algebra, this paper deals with algebraic structures which extend skew lattices by locally invertible elemen…
math.GR2012
Mitsch's order and inclusion for binary relations and partitions
D. G. FitzGerald
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equations in the theory of relation algebras. The natural partial order has a complex r…