Description
A map \phi on algebra A is called skew-morphism if there exists a function \kappa from A into integers such that
\phi(ab)=\phi(a)\phi^{\kappa(a)}(b)
where \phi^s is the iteration of a map \phi.
Skew morphisms were recently introduced in connection to maps on orientable surfaces; they also naturally occur in investigation of cyclic extension of groups. In the proposed talk we aim to list several properties of skew-morphisms on a semigroups of n-by-n matrices.
Primary author
Prof.
Bojan Kuzma
(University of Primorska)
