Título inglés |
On Herstein's theorems relating modularity in A and A(+). |
Título español |
Sobre los teoremas de Herstein que relacionan la modularidad en A y A(+). |
Autor/es |
Anquela, José A. |
Organización |
Dep. Mat. Univ. Zaragoza, Zaragoza, España |
Revista |
0213-8743 |
Publicación |
1992, 7 (1): 5-8, 11 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
In this paper we will examine the relationship between modularity in the lattices of subalgebras of A and A(+), for A an associative algebra over an algebraically closed field. To this aim we will construct an ideal which measures the modularity of an algebra (not necessarily associative) in paragraph 1, examine modular associative algebras in paragraph 2, and prove in paragraph 3 that the ideal constructed in paragraph 1 coincides for A and A(+). We will also examine some properties of the ideal mentioned in paragraph 1 when the algebras involved are Jordan. |
Clasificación UNESCO |
120112 |
Palabras clave español |
Algebras de Jordan ; Estructuras modulares ; Retículos ; Anillos no conmutativos |
Código MathReviews |
MR1203431 |
Acceso al artículo completo |