A remark on the paper “Laterally closed lattice homomorphisms”

A new and simple proof of the main result of the paper “Laterally closed lattice homomorphisms” by Toumi and Toumi (J Math Anal Appl 324:1178–1194, 2006 ) is given following the paper “Extension of Riesz homomorphisms, I” by Buskes (J Aust Math Soc Ser A 39(1):107–120, 1985 ).

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2014-06, Vol.18 (2), p.219-221
Main Author: Ercan, Z.
Format: Article
Language:English
Subjects:
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Numbers
Operator Theory
Potential Theory
Studies
Theorems
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Summary:A new and simple proof of the main result of the paper “Laterally closed lattice homomorphisms” by Toumi and Toumi (J Math Anal Appl 324:1178–1194, 2006 ) is given following the paper “Extension of Riesz homomorphisms, I” by Buskes (J Aust Math Soc Ser A 39(1):107–120, 1985 ).
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-013-0241-9