PerfectMV-Algebras andl-Rings
| Autor: | George Georgescu, Antonio Di Nola, L. P. Belluce |
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| Rok vydání: | 1999 |
| Předmět: | |
| Zdroj: | Journal of Applied Non-Classical Logics. 9:159-172 |
| ISSN: | 1958-5780 1166-3081 |
| DOI: | 10.1080/11663081.1999.10510962 |
| Popis: | In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-algebras. We shall establish a relation between l-ideals in l-rings and some ideals in MV*-algebras. This edlows us to study the MV* f-algebras, a subclass of the MV*-algebras corresponding to the f-rings. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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