Abstract
Let R be a commutative ring with nonzero identity and, S & SUBE;R be a multiplicatively closed subset. An ideal P of R is called an S-quasi-primary ideal if P & AND;S= null and there exists an (fixed) s & ISIN;S and whenever ab & ISIN;P for a,b & ISIN;R then either sa & ISIN;P or sb & ISIN;P. In this paper, we construct a topology on the set QPrimSR of all S-quasi-primary ideals of R which is a generalization of the S-prime spectrum of R. Also, we investigate the relations between algebraic properties of R and topological properties of QPrimSR like compactness, connectedness and irreducibility.