Compactness in <Emphasis Type="Italic">MV</Emphasis>-algebras and in their non-commutative generalizations |
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| Authors: | J Rach?nek |
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| Affiliation: | (1) Department of Algebra and Geometry, Palacky University, Tomkova 40, CZ-779 00 Olomouc, Czech Republic E-mail: rachunek@risc.upol.cz, CZ |
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| Abstract: | In the paper we study MV-algebras and their non-commutative generalizations, GMV-algebras, in which every element is compact. Further, we characterize finite MV-algebras as archimedean GMV-algebras which are 0-meet compact.
Dedicated to Prof. Ján Jakubík on the occasion of his 80th birthday
Supported by the Council of Czech Government, J 14/98: 15100011. |
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| Keywords: | MV-algebra GMV-algebra Unital ℓ -group Compact element Discrete GMV-algebra Ideal Prime ideal |
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