INVESTIGADORES
CASTIGLIONI JosÉ Luis
artículos
Título:
A representation theorem for integral rigs and its applications to residuated lattices
Autor/es:
J.L. CASTIGLIONI; M. MENNI; W. J. ZULUAGA BOTERO
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 220 p. 3533 - 3566
ISSN:
0022-4049
Resumen:
We generalize the Dubuc?Poveda representation theorem for MV-algebras so that it applies to other algebraic categories of residuated join-semilattices. In particular, as a corollary, we obtain a representation result for pre-linear residuated join-semilattices in terms of totally ordered fibers. The main result is analogous to the Zariski representation of (commutative) rings and it is proved using tools from topos theory.
