IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Representation by triples of algebras with an MV-retract
Autor/es:
UGOLINI, SARA; MARCOS, MIGUEL ANDRÉS; BUSANICHE, MANUELA
Revista:
INTERNATIONAL JOURNAL ON FUZZY SETS AND SYSTEMS
Editorial:
Elsevier B.V.
Referencias:
Año: 2019 vol. 369 p. 82 - 102
ISSN:
0165-0114
Resumen:
We introduce the notion of generalized rotation of a residuated lattice and characterize the varieties of bounded residuated lattices they generate, which we name MVR n . These algebras have a retraction onto a hyperarchimedean MV-algebra. Then we characterize algebras in MVR n as triples made of an MV-algebra, a residuated lattice with a nucleus, and an operator joining them.