Title
Interval topology of lattice effect algebras
Abstract
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
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
Name
Order
Citations
PageRank
Qiang Lei110.48
Junde Wu221.89
Ronglu Li3272.97