CINECA IRIS Institutional Research Information System
IRIS è la piattaforma adottata dall’Università degli Studi di Udine per gestire l’archivio aperto dei prodotti della ricerca. L’archivio contiene articoli, contributi in volume, monografie, interventi pubblicati in atti di convegno, Tesi di dottorato e altri materiali.
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 |
File in questo prodotto:
Copyright © 2021