Título inglés |
Projective covers of finitely generated Banach modules and the structure of some Banach algebras. |
Título español |
Cubiertas proyectivas de módulos de Banach finitamente generados y la estructura de algunas álgebras de Banach. |
Autor/es |
Aristov, Oleg Yu. |
Organización |
Obninsk, Rusia |
Revista |
0213-8743 |
Publicación |
2006, 21 (1): 1-26, 19 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The investigation of the structure of biprojective Banach algebras with
non-trivial radical [3] forces the author to suppose that the idea of projective
cover, which is important in Ring Theory, can be effectively applied to Banach
algebras and modules. But, in fact, the structural results on biprojectivity
can be easier obtained without projective covers, so there are no references
to this matter in [3]. Projective covers of Banach modules are considered in
the present article. Except some assertions in Sections 1 and 6 we restrict
our attention to the finitely generated case. The discussion concentrates on
Banach algebras with conditions on the existence of projective covers. |
Clasificación UNESCO |
120203 |
Palabras clave español |
Módulos algebraicos ; Módulos proyectivos ; Algebra de Banach ; Producto tensorial |
Código MathReviews |
MR2258339 |
Código Z-Math |
Zbl pre05081464 |
Acceso al artículo completo |