Título inglés |
Wajsberg algebras. |
Título español |
Algebras de Wajsberg. |
Autor/es |
Font, Josep M. ; Rodríguez, Antonio J. ; Torrens, Antoni |
Organización |
Fac. Mat. Univ. Barcelona, Barcelona, España;Inst. Enseñ. Media Alpujarra [MEC], Orjiva (Granada), España |
Revista |
0210-7821 |
Publicación |
1984, 8 (1): 5-31, 17 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
We present the basic theory of the most natural algebraic counterpart of the À0-valued Lukasiewicz calculus, strictly logically formulated. After showing its lattice structure and its relation to C. C. Chang's MV-algebras we study the implicative filters and prove its equivalence to congruence relations. We present some properties of the variety of all Wajsberg algebras, among which there is a representation theorem. Finally we give some characterizations of linear, simple and semisimple algebras. |
Clasificación UNESCO |
120105 |
Palabras clave español |
Algebras de Wajsberg |
Código MathReviews |
MR0780136 |
Código Z-Math |
Zbl 0557.03040 |
Acceso al artículo completo |