Partial Transformations

Some articles on partial transformations, partial, transformations:

Inverse Semigroup - Connections With Category Theory
... The above composition of partial transformations of a set gives rise to a symmetric inverse semigroup ... There is another way of composing partial transformations, which is more restrictive than that used above two partial transformations α and β are composed if ... Under this alternative composition, the collection of all partial one-one transformations of a set forms not an inverse semigroup but an inductive groupoid ...

Famous quotes containing the word partial:

    We were soon in the smooth water of the Quakish Lake,... and we had our first, but a partial view of Ktaadn, its summit veiled in clouds, like a dark isthmus in that quarter, connecting the heavens with the earth.
    Henry David Thoreau (1817–1862)