Next: Laurent W. Marcoux - Up: Operator Theory / Théorie Previous: V. Lomonosov - Density
Gordon MacDonald - Principal-ideal bands
GORDON MACDONALD, Department of Mathematics and Computer Science, University of Prince Edward Island, Charlottetown, Prince Edward Island C1A 4P3, Canada | |
Principal-ideal bands |
A band is a semigroup of idempotents. A canonical form will be presented for principal-ideal bands of linear transformations acting on a finite-dimensional vector space over a general field. This canonical form will be brought to bear on the question of whether idempotents of all possible ranks are present in maximal principal-ideal bands.
(Joint work with P. Fillmore, M. Radjabalipour and H. Radjavi.)
eo@camel.math.ca