INVESTIGADORES
CASTIGLIONI JosÉ Luis
artículos
Título:
Functional representation of finitely generated free algebras in subvarieties of BL-algebras
Autor/es:
BUSANICHE, MANUELA; CASTIGLIONI, JOSÉ LUIS; LUBOMIRSKY, NOEMÍ
Revista:
ANNALS OF PURE AND APPLIED LOGIC
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2020 vol. 171
ISSN:
0168-0072
Resumen:
Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely generated free algebra of each of these subvarieties. In this characterization there is a clear insight of the role of the regular and dense elements of the generating chain. As an application, we analyze maximal and prime filters in the free algebra.
