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http://hdl.handle.net/2445/151423| Title: | Wajsberg algebras |
| Author: | Font, Josep M. Rodríguez, Antonio J. (Jesús) Torrens Torrell, Antoni |
| Keywords: | Varietats abelianes Universitat de Barcelona. Institut de Matemàtica |
| Issue Date: | 1983 |
| Publisher: | Universitat de Barcelona |
| Series/Report no: | Mathematics Preprint Series; 18 |
| Abstract: | We present the basic theory of the most natural algebraic counterpart of the No-valued bukasiewicz calculus, strictly logically formulated. After showing its lattice structure and its relation to C.C. Chang's MV-algebras we study the implicative filters and prove its equivalence to congruence relations. We present some properties of the variety of all Wajsberg algebras, among which there is a representation theorem. Finally we give several characterizations of linear, simple and semisimple algebras. |
| Note: | Preprint enviat per a la seva publicació en una revista científica: Stochastica,1984, volume 8, num. 1, pp. 5-31 |
| URI: | http://hdl.handle.net/2445/151423 |
| Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MPS_N018.pdf | 963.71 kB | Adobe PDF | View/Open |
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