We prove that the order continuous bidual of an Archimedean r-algebra is a Dedekind complete r-algebra with respect to the Arens multiplications.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 5, pp. 713–717, May, 2011.
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Yilmaz, R. Bidual of r-algebras. Ukr Math J 63, 833–837 (2011). https://doi.org/10.1007/s11253-011-0546-4
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DOI: https://doi.org/10.1007/s11253-011-0546-4