Department of Mathematics, Indore University, Vigyan Bhavan, Khandwa Rd., Indore 452-001, India
Abstract:
It is proved that a 2-dimensional system (F, G) over a projective free ring is pole-assignable if and only if im G contains a unimodular. Further it is shown that im G contains a unimodular iff F−1 (im G) contains a unimodular. Some observations on reachability are also mentioned in the last section.