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ON THE PRIME SPECTRUM OF A MODULE OVER A COMMUTATIVE NOETHERIAN RING
Ansari-Toroghy, H.,Sarmazdeh-Ovlyaee, R. The Honam Mathematical Society 2007 호남수학학술지 Vol.29 No.3
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 $Supp_{R}$(M). Also we will give a characterization for the irreducibility of X and we obtain some related results.
Max<sub>R</sub>(M) AND ZARISKI TOPOLOGY
ANSARI-TOROGHY, H.,KEIVANI, S.,OVLYAEE-SARMAZDEH, R. 호남수학회 2006 호남수학학술지 Vol.28 No.3
Let R be a commutative ring and let M be an R-module. Let X = $Spec_R(M)$ be the prime spectrum of M with Zariski topology. In this paper, by using the topological properties of X, we will obtain some conditions under which $Max_R(M)=Spec_R(M)$.