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Kusraev A. G. Interaction Between Analysis, Algebra, and Logic: The Wickstead Problem.–Vladikavkaz, 2017.–16 p.–(Preprint / SMI VSC RAS; № 5)

The paper deals with an interaction between analysis, algebra, and mathematical logic by examining the well-known Wickstead problem for band preserving linear operators in universally complete vector lattices. The main tool is a fundamental Gordon's theorem stating that the interpretation of reals (complexes) in a Boolean valued model over a complete Boolean algebra B is a universally complete real (complex) vector lattice whose Boolean algebra of band projections is isomorphic to B. Some new results on the structure of homogeneity rings of additive operators, band preserving linear isomorphisms, and a classification of injective modules are also presented.