Let Formula: see text be a commutative ring with identity and Formula: see text a multiplicative subset of Formula: see text. A submodule Formula: see text of an Formula: see text-module Formula: see text with Formula: see text is called a quasi-Formula: see text-prime submodule if there exists a fixed Formula: see text, and whenever Formula: see text for some Formula: see text, then Formula: see text or Formula: see text. The set of all quasi-Formula: see text-prime submodules of Formula: see text is called the localization of Spectrum of Formula: see text by Formula: see text and denoted by Formula: see text. In this paper, we construct and study a topology on Formula: see text. We investigate some connections between algebraic properties of Formula: see text and topological properties of Formula: see text such as separation axioms, compactness, connectedness and irreducibility.
Hamed et al. (Fri,) studied this question.