Abstract | ||
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Let (E,⊥,⊕,0,1) be a lattice effect algebra and τi its interval topology. In this work we show that if the operation ⊕ is continuous with respect to τi, then τi is Hausdorff. In addition, we also show that if (E,⊥,⊕,0,1) is a complete MV-effect algebra and τi is a Hausdorff topology, then the operations ⊕, ⊖, ∨ and ∧ are τi continuous. |
Year | DOI | Venue |
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2009 | 10.1016/j.aml.2009.01.008 | Applied Mathematics Letters |
Keywords | Field | DocType |
Lattice effect algebra,MV-effect algebra,Interval topology,Continuity of operations,Atom | Discrete mathematics,Topology,Lattice (order),Mathematical analysis,Effect algebra,Hausdorff space,Lattice effect algebra,Mathematics | Journal |
Volume | Issue | ISSN |
22 | 7 | 0893-9659 |
Citations | PageRank | References |
1 | 0.48 | 1 |
Authors | ||
3 |