Abstract

In this paper we investigate filter topologies on MV-algebras. We give several equivalent conditions for a filter topology making an MV-algebra into a topological MV-algebra. Moreover, we determine all filter topologies on an MV-chain; in particular, it is shown that an MV-chain with a filter topology is always a topological MV-algebra. If an MV-algebra is compact and Hausdorff with respect to a filter topology, then it is a finite product of MV-chains, each of which is a finite or the standard MV-algebra.

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 call

Disclaimer: 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.