Published January 1, 2010 | Version v1
Conference paper Open

A Note on Bi-orthomorphisms

  • 1. Univ Mississippi, Dept Math, University, MS 38677 USA
  • 2. Framingham State Coll, Dept Math, Framingham, MA 01701 USA
  • 3. Fac Arts & Sci, Dept Math, TR-53100 Rize, Turkey

Description

We show that the space of bi-orthomorphisms forms a vector lattice. The space of orthomorphisms on a semiprime f-algebra is a vector sub-lattice of the space of hi-orthomorphisms and an ideal in the case that the f-algebra is Dedekind complete.

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