Título inglés |
Convexity theories 0 fin. Foundations. |
Título español |
Teorías de convexidad 0 fin. Fundamentos. |
Autor/es |
Kleisli, Heinrich ; Röhrl, Helmut |
Organización |
Math. Inst. Univ. Freiburg, Friburgo, Suiza;Univ. California San Diego, La Jolla (California), Estados Unidos |
Revista |
0214-1493 |
Publicación |
1996, 40 (2): 469-496, 7 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
In this paper we study big convexity theories, that is convexity theories that are not necessarily bounded. As in the bounded case (see [4]) such a convexity theory Γ gives rise to the category ΓC of (left) Γ-convex modules. This is an equationally presentable category, and we prove that it is indeed an algebraic category over Set. We also introduce the category ΓAlg of Γ-convex algebras and show that the category Frm of frames is isomorphic to the category of
associative, commutative, idempotent DU-convex algebras satisfying additional conditions, where D is the two-element semiring that is not a ring. Finally a classification of the convexity theories over D and a description of the categories of their convex modules is given. |
Clasificación UNESCO |
120105 ; 120206 |
Palabras clave español |
Convexidad ; Teoría de anillos ; Series infinitas ; Dominios no acotados |
Código MathReviews |
MR1425632 |
Acceso al artículo completo |