Abstract
Let R be a commutative ring with nonzero identity and, be a multiplicatively closed subset. An ideal P of R with is called an S-prime ideal if there exists an (fixed) and whenver for then either or In this article, we construct a topology on the set SpecS (R) of all S-prime ideals of R which is generalization of prime spectrum of R. Also, we investigate the relations between algebraic properties of R and topological properties of SpecS (R) like compactness, connectedness and irreducibility.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
