Displaying similar documents to “Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order.”

Inverses and regularity of disjointness preserving operators

Y. A. Abramovich, A. K. Kitover


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...