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EnglishThe MV-algebra Smω is obtained from the (m+1)-valued Łukasiewicz chain by adding infinitesimals, in the same way as Chang's algebra is obtained from the two-valued chain. These algebras were introduced by Komori in his study of varieties of MV-algebras. In this paper we describe the finitely generated totally ordered algebras in the variety MVmω generated by Smω. This yields an easy description of the free Mmω-algebras over one generator. We characterize the automorphism groups of the free MV-algebras over finitely many generators.
Finitely generated free MV-algebras and their automorphism groups / PANTI G; DI NOLA A; GRIGOLIA R. - In: STUDIA LOGICA. - ISSN 0039-3215. - STAMPA. - 61:1(1998), pp. 65-78.
| Titolo: | Finitely generated free MV-algebras and their automorphism groups | |
| Autori: | ||
| Data di pubblicazione: | 1998 | |
| Rivista: | ||
| Citazione: | Finitely generated free MV-algebras and their automorphism groups / PANTI G; DI NOLA A; GRIGOLIA R. - In: STUDIA LOGICA. - ISSN 0039-3215. - STAMPA. - 61:1(1998), pp. 65-78. | |
| Abstract: | The MV-algebra Smω is obtained from the (m+1)-valued Łukasiewicz chain by adding infinitesimals, in the same way as Chang's algebra is obtained from the two-valued chain. These algebras were introduced by Komori in his study of varieties of MV-algebras. In this paper we describe the finitely generated totally ordered algebras in the variety MVmω generated by Smω. This yields an easy description of the free Mmω-algebras over one generator. We characterize the automorphism groups of the free MV-algebras over finitely many generators. | |
| Handle: | http://hdl.handle.net/11390/847743 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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