Department of Mathematics and Statistics, The University of Canterbury, Private Bag 4800, Christchurch, New Zealand;School of Computing, Information and Mathematical Sciences, Faculty of Science and Technology, University of the South Pacific, Suva, Fiji.;Mathematisches Institut, Theresienstr. 39, 80333 Muenchen, Germany
We introduce the notion of a 'q-ideal in a commutative Banach algebra, and investigate the relation between q-ideals and maximal ideals constructively.