Pointfree Spectra of Riesz Spaces |
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Authors: | M. M. Ebrahimi A. Karimi M. Mahmoudi |
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Affiliation: | (1) Department of Mathematics, Shahid Beheshti University, Tehran, Iran |
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Abstract: | One of the best ways of studying ordered algebraic structures is through their spectra. The three well-known spectra usually considered are the Brumfiel, Keimel, and the maximal spectra. The pointfree versions of these spectra were studied by B. Banaschewski for f-rings. Here, we give the pointfree versions of the Keimel and the maximal spectra for Riesz spaces. Moreover, we briefly mention how one can use the results of this paper to give a pointfree version of the Kakutani duality for Riesz spaces. |
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Keywords: | frame Riesz space uniform and bounded Riesz spaces Keimel and maximal spectra |
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