SOME REMARKS ON RELATIVE PROJECTIVITY

H. Ansari-Toroghy (Iran) and F. Dorostkar (Iran)

Received November 14, 2007

Abstract

Let R be a commutative ring and let M be an R-module. Suppose that the zero submodule of M has a primary decomposition. In this paper   we show that  can be specified in terms of  and  where F is a projective R-module or a finitely generated R-module which is projective relative to M. Also we obtain some related results. (Here for an R-module L,  denotes the set of weakly associated primes of L.)

Keywords and phrases: associated primes, weakly associated primes, projectivity, relative projectivity and relative flatness.