# Projective covers of finitely generated Banach modules and the structure of some Banach algebras.

Extracta Mathematicae (2006)

- Volume: 21, Issue: 1, page 1-26
- ISSN: 0213-8743

## Access Full Article

top## Abstract

top## How to cite

topAristov, Oleg Yu.. "Projective covers of finitely generated Banach modules and the structure of some Banach algebras.." Extracta Mathematicae 21.1 (2006): 1-26. <http://eudml.org/doc/41846>.

@article{Aristov2006,

abstract = {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.},

author = {Aristov, Oleg Yu.},

journal = {Extracta Mathematicae},

keywords = {Módulos algebraicos; Módulos proyectivos; Algebra de Banach; Producto tensorial},

language = {eng},

number = {1},

pages = {1-26},

title = {Projective covers of finitely generated Banach modules and the structure of some Banach algebras.},

url = {http://eudml.org/doc/41846},

volume = {21},

year = {2006},

}

TY - JOUR

AU - Aristov, Oleg Yu.

TI - Projective covers of finitely generated Banach modules and the structure of some Banach algebras.

JO - Extracta Mathematicae

PY - 2006

VL - 21

IS - 1

SP - 1

EP - 26

AB - 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.

LA - eng

KW - Módulos algebraicos; Módulos proyectivos; Algebra de Banach; Producto tensorial

UR - http://eudml.org/doc/41846

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.