caa a22 4500 605468915 CHVBK 20210128100319.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00500-015-1664-y doi (NATIONALLICENCE)springer-10.1007/s00500-015-1664-y Generators of projective MV-algebras [Elektronische Daten] [Francesco Lacava, Donato Saeli] 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. Springer-Verlag Berlin Heidelberg, 2015 MV-algebras nationallicence Projective nationallicence Retract nationallicence Piecewise linear map nationallicence Lacava Francesco Dipartimento di Matematica "Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni, 67/a, 50134, Florence, Italy aut Saeli Donato Via Giovanni XXIII, 29, 85100, Potenza, Italy aut Soft Computing Springer Berlin Heidelberg 19/9(2015-09-01), 2525-2540 1432-7643 19:9<2525 2015 19 500 https://doi.org/10.1007/s00500-015-1664-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-015-1664-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lacava Francesco Dipartimento di Matematica "Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni, 67/a, 50134, Florence, Italy aut NATIONALLICENCE 700 1- Saeli Donato Via Giovanni XXIII, 29, 85100, Potenza, Italy aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/9(2015-09-01), 2525-2540 1432-7643 19:9<2525 2015 19 500