1978
- ▪W. Dicks, E.D. Sontag, "Sylvester domains", J. Pure Appl. Algebra, vol. 13, no. 3, pp. 243–275, 1978. pdf
Abstract
The inner rank of an m x n matrix A over a ring is defined as the least integer r such that A can be expressed as the product of an m x r and an r x n matrix. For example, over a (skew) field this concept coincides with the usual notion of rank. This notion is studied in this paper, and is related to Sylvester's law of nullity and work by P.M. Cohn.