- Tytuł:
- On some Properties of Quasi MV Algebras and $\sqrt\prime$ quasi-MV Algebras. Part III.
- Autorzy:
- Kowalski, Tomasz
- Powiązania:
- https://bibliotekanauki.pl/articles/1368539.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
- Opis:
- In the present paper, which is a sequel to [14] and [3], we investigate further the structure theory of quasi-MV algebras and $\sqrt'$ quasi-MV algebras. In particular: we provide an improved version of the subdirect representation theorem for both varieties; we characterise the Ursini ideals of quasi-MV algebras; we establish a restricted version of Jónsson’s lemma, again for both varieties; we simplify the proof of standard completeness for the variety of $\sqrt'$ quasi-MV algebras; we show that this same variety has the finite embeddability property; finally, we investigate the structure of the lattice of subvarieties of $\sqrt'$ quasi-MV algebras.
- Źródło:
-
Reports on Mathematical Logic; 2010, 45; 161-199
0137-2904
2084-2589 - Pojawia się w:
- Reports on Mathematical Logic
- Dostawca treści:
- Biblioteka Nauki