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Direct summands and retract mappings of generalized $MV$-algebras
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 1, pp. 183-202 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 06D35, 06F15
Keywords: residuated lattice; lattice ordered group; generalized $MV$-algebra; direct summand 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Direct summands and retract mappings of generalized $MV$-algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {183--202},
     year = {2008},
     volume = {58},
     number = {1},
     mrnumber = {2402534},
     zbl = {1174.06319},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_1_a12/}
}
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Jakubík, Ján. Direct summands and retract mappings of generalized $MV$-algebras. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 1, pp. 183-202. http://geodesic.mathdoc.fr/item/CMJ_2008_58_1_a12/