Indecomposability of free algebras in some subvarieties of residuated lattices and their bounded subreducts |
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| Authors: | Diego Castaño José Patricio Díaz Varela Antoni Torrens |
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| Affiliation: | 1. Departamento de Matemática, Universidad Nacional del Sur, Avenida Alem 1253, 8000, Bahía Blanca, Argentina
2. Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain
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| Abstract: | In this paper, we show that free algebras in the variety of residuated lattices and some of its subvarieties are directly indecomposable and show, as a consequence, the direct indecomposability of free algebras for some classes of their bounded implicative subreducts. |
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