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‘POSITIVELY HOMOGENEOUS LATTICE HOMOMORPHISMS BETWEEN RIESZ SPACES NEED NOT BE LINEAR’
Published online by Cambridge University Press: 08 July 2016
Abstract
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This note furnishes an example showing that the main result (Theorem 4) in Toumi [‘When lattice homomorphisms of Archimedean vector lattices are Riesz homomorphisms’, J. Aust. Math. Soc. 87 (2009), 263–273] is false.
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- © 2016 Australian Mathematical Publishing Association Inc.
References
Ercan, Z. and Wickstead, A. W., ‘When a lattice homomorphism is a Riesz homomorphism’, Math. Nachr.
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Toumi, M. A., ‘When lattice homomorphisms of Archimedean vector lattices are Riesz homomorphisms’, J. Aust. Math. Soc.
87 (2009), 263–273.Google Scholar
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Target article
WHEN LATTICE HOMOMORPHISMS OF ARCHIMEDEAN VECTOR LATTICES ARE RIESZ HOMOMORPHISMS
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‘POSITIVELY HOMOGENEOUS LATTICE HOMOMORPHISMS BETWEEN RIESZ SPACES NEED NOT BE LINEAR’
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‘POSITIVELY HOMOGENOUS LATTICE HOMOMORPHISMS BETWEEN RIESZ SPACES NEED NOT BE LINEAR’