Generators of projective MV-algebras
Rings and Algebras
2014-11-17 v1 Logic
Abstract
In the last decade, interest in projective MV-algebras has grown greatly; see [1], [5] e [6]. In this paper we establish a necessary and sufficient condition for n elements of the free n-generator MV-algebra to generate a projective MV-algebra. This generalizes the characterization of the n free generators proved in [7]. 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.
Keywords
Cite
@article{arxiv.1411.3878,
title = {Generators of projective MV-algebras},
author = {Francesco Lacava and Donatop Saeli},
journal= {arXiv preprint arXiv:1411.3878},
year = {2014}
}