ON THE PRIME SPECTRUM OF A MODULE OVER A COMMUTATIVE NOETHERIAN RING Ansari-Toroghy, H.; Sarmazdeh-Ovlyaee, R.;
Let R be a commutative ring and let M be an R-module. Let X = Spec(M) be the prime spectrum of M with Zariski topology. Our main purpose in this paper is to specify the topological dimensions of X, where X is a Noetherian topological space, and compare them with those of topological dimensions of (M). Also we will give a characterization for the irreducibility of X and we obtain some related results.
prime submodule;Zariski topology;topological dimensions;