Generators of projective MV-algebras
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| 001 | 605468915 | ||
| 003 | CHVBK | ||
| 005 | 20210128100319.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00500-015-1664-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00500-015-1664-y | ||
| 245 | 0 | 0 | |a Generators of projective MV-algebras |h [Elektronische Daten] |c [Francesco Lacava, Donato Saeli] |
| 520 | 3 | |a In the last decade, interest in projective MV-algebras has grown greatly; see Cabrer and Mundici (Algebra Univ 62(1):63-74, 2009), Di Nola et al. (Int J Approx Reason 47(3):323-332, 2008) and Di Nola and Grigolia (J Multiple-Valued Logic Soft Comput 9(3):291-317, 2003). In this paper, we establish a necessary and sufficient condition for $$n$$ n elements of the free $$n$$ n -generator MV-algebra to generate a projective MV-algebra. This generalizes the characterization of the $$n$$ n free generators proved in Lacava (Algebra Univ 57(4):455-462, 2007). Using this, some classes of projective generators for bigenerated MV-algebras, are given. In particular, some effective procedures to determine, by elementary methods, generators of projective MV-algebras are explained. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a MV-algebras |2 nationallicence | |
| 690 | 7 | |a Projective |2 nationallicence | |
| 690 | 7 | |a Retract |2 nationallicence | |
| 690 | 7 | |a Piecewise linear map |2 nationallicence | |
| 700 | 1 | |a Lacava |D Francesco |u Dipartimento di Matematica "Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni, 67/a, 50134, Florence, Italy |4 aut | |
| 700 | 1 | |a Saeli |D Donato |u Via Giovanni XXIII, 29, 85100, Potenza, Italy |4 aut | |
| 773 | 0 | |t Soft Computing |d Springer Berlin Heidelberg |g 19/9(2015-09-01), 2525-2540 |x 1432-7643 |q 19:9<2525 |1 2015 |2 19 |o 500 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00500-015-1664-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00500-015-1664-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lacava |D Francesco |u Dipartimento di Matematica "Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni, 67/a, 50134, Florence, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Saeli |D Donato |u Via Giovanni XXIII, 29, 85100, Potenza, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Soft Computing |d Springer Berlin Heidelberg |g 19/9(2015-09-01), 2525-2540 |x 1432-7643 |q 19:9<2525 |1 2015 |2 19 |o 500 | ||