Alternative noetherian Banach algebras.

Benslimane, M., and Boudi, N.. "Alternative noetherian Banach algebras.." Extracta Mathematicae 12.1 (1997): 41-46. <http://eudml.org/doc/38513>.

@article{Benslimane1997,
abstract = {Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.},
author = {Benslimane, M., Boudi, N.},
journal = {Extracta Mathematicae},
keywords = {Algebra de Banach; Módulo noetheriano; Anillos; Isomorfismo; Noetherian alternative algebras; nonassociative Banach algebras; alternative algebras; nonassociative algebras; nucleus; principal left ideal},
language = {eng},
number = {1},
pages = {41-46},
title = {Alternative noetherian Banach algebras.},
url = {http://eudml.org/doc/38513},
volume = {12},
year = {1997},
}

TY - JOUR
AU - Benslimane, M.
AU - Boudi, N.
TI - Alternative noetherian Banach algebras.
JO - Extracta Mathematicae
PY - 1997
VL - 12
IS - 1
SP - 41
EP - 46
AB - Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.
LA - eng
KW - Algebra de Banach; Módulo noetheriano; Anillos; Isomorfismo; Noetherian alternative algebras; nonassociative Banach algebras; alternative algebras; nonassociative algebras; nucleus; principal left ideal
UR - http://eudml.org/doc/38513
ER -