论文信息 - Filter topologies and topological MV-algebras

Filter topologies and topological MV-algebras

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.

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