On the determinantal ideal of a module

On the determinantal ideal of a module

In this paper we dene determinantal ideal of a nitely generated R-module, namely FittR(M) and assert some properties of this ideal. We show that if FittR(M) is a prime ideal of R, then FittR(M) = FittR(aM), for every element a 2 R which is a nonzerodivisor on M.