A problem of A. Monteiro concerning relative complementation of lattices
M. E. Adams (1974)
Colloquium Mathematicae
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Displaying similar documents to “A note on local Noether lattices”
A problem of A. Monteiro concerning relative complementation of lattices
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A linear operator T: X → Y between vector lattices is said to be disjointness preserving if T sends disjoint elements in X to disjoint elements in Y. Two closely related questions are discussed in this paper: (1) If T is invertible, under what assumptions does the inverse operator also preserve disjointness? (2) Under what assumptions is the operator T regular? These problems were considered by the authors in [5] but the current paper (closely related to [5] but self-contained) reflects...