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Kites and pseudo BL-algebras |
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| Authors: | Anatolij Dvurečenskij Tomasz Kowalski |
| Institution: | 1. Mathematical Institute, Slovak Academy of Sciences, ?tefánikova 49, SK–814 73, Bratislava, Slovakia 2. Department of Algebra and Geometry, Faculty of Sciences, Palacky University, t?. 17. listopadu 12, CZ-771 46, Olomouc, Czech Republic 3. Department of Mathematics and Statistics, La Trobe University, Melbourne, Victoria, 3086, Australia |
| Abstract: | We investigate a construction of a pseudo BL-algebra out of an ?-group called a kite. We show that many well-known examples of algebras related to fuzzy logics can be obtained in that way. We describe subdirectly irreducible kites. As another application, we exhibit a new countably infinite family of varieties of pseudo BL-algebras covering the variety of Boolean algebras. |
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