In this paper, we consider an m × n regular matrix A over a commutative ring A (-a matrix whose range is direct summand of A m) and a necessary and sufficient condition in terms of determinantal rank is obtained for solvability of Ax = b. In the light of this result we define rank-function for matrices.
|Number of pages||6|
|Journal||Communications in Algebra|
|Publication status||Published - 1997|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory