Direct summands and retract mappings of generalized MV-algebras |
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Authors: | Ján Jakubík |
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Affiliation: | (1) Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, SK-040 01 Košice, Slovakia |
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Abstract: | In the present paper we deal with generalized MV-algebras (GMV-algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, GMV-algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of GMV-algebras. The relations between GMV-algebras and lattice ordered groups are essential for this investigation. Supported by VEGA Agency grant 1/2002/05. This work has been partially supported by the Slovak Academy of Sciences via the project Center of Excellence-Physics of Information, grant I/2/2005. |
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Keywords: | residuated lattice lattice ordered group generalized MV-algebra direct summand |
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