Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T15:04:05.946Z Has data issue: false hasContentIssue false
  • English
  • Français

‘POSITIVELY HOMOGENOUS LATTICE HOMOMORPHISMS BETWEEN RIESZ SPACES NEED NOT BE LINEAR’

Published online by Cambridge University Press:  08 July 2016

MOHAMED ALI TOUMI
MOHAMED ALI TOUMI*
Affiliation:
Département de Mathématiques, Faculté des Sciences de Bizerte, 7021, Zarzouna, Bizerte, Tunisia email [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Reply
Information
Journal of the Australian Mathematical Society , Volume 102 , Issue 3 , June 2017 , pp. 446 - 447
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

Ben Amor, F., ‘Comment on “Positively homogenous lattice homomorphisms between Riesz spaces need not be linear”’, J. Aust. Math. Soc. to appear.Google Scholar
Ercan, Z. and Wickstead, A. W., ‘When a lattice homomorphism is a Riesz homomorphism’, Math. Nachr. 279 (2006), 1024–1027.Google Scholar
Lochan, R. and Strauss, D., ‘Lattice homomorphisms of spaces of continuous functions’, J. Lond. Math. Soc. 25 (1982), 379–384.Google Scholar
Mena, R. and Roth, B., ‘Homomorphisms of lattices of continuous functions’, Proc. Amer. Math. Soc. (2) 71 (1978), 11–12.Google Scholar
Thanh, D. T., ‘A generalization of a theorem of R. Mena and R. Roth’, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 34 (1992), 167–171.Google Scholar
Toumi, M. A., ‘When lattice homomorphisms of Archimedean vector lattices are Riesz homomorphisms’, J. Aust. Math. Soc. 87 (2009), 263–273.Google Scholar