Presentación | Participantes | Bibliografía (DML-E) | Bibliografía adicional | Enlaces de interés | Otros proyectos DML | Ayuda
INICIO |
27 de julio de 2024
Convexity theories 0 fin. Foundations.
| 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 |
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