• Publications
  • Influence
Skew lattices in rings
The geometric structure of skew lattices
A skew lattice is a noncommutative associative analogue of a lattice and as such may be viewed both as an algebraic object and as a geometric ob- ject. Whereas recent papers on skew latticesExpand
Normal skew lattices
Skew Boolean algebras
DUAL SYMMETRIC INVERSE MONOIDS AND REPRESENTATION THEORY
There is a substantial theory (modelled on permutation representations of groups) of representations of an inverse semigroup S in a symmetric inverse monoid I_X , that is, a monoid of partialExpand
Cancellation in Skew Lattices
TLDR
We examine cancellation in skew lattices, where the involved objects are in many ways lattice-like, but the operations $\land$ and $\lor$ no longer need be commutative. Expand
INVERSE MONOIDS WITH A NATURAL SEMILATTICE ORDERING
An inverse semigroup is a semigroup S such that for each x e S there exists a unique inverse x~ & S such that both xx~x=x and x~xx~=x~\ This condition is equivalent to S both being (von Neumann)Expand
Distributivity in skew lattices
Distributive skew lattices satisfying $$x\wedge (y\vee z)\wedge x = (x\wedge y\wedge x) \vee (x\wedge z\wedge x)$$x∧(y∨z)∧x=(x∧y∧x)∨(x∧z∧x) and its dual are studied, along with the larger class ofExpand
...
1
2
3
4
...