# Alternative noetherian Banach algebras.

Extracta Mathematicae (1997)

- Volume: 12, Issue: 1, page 41-46
- ISSN: 0213-8743

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topBenslimane, 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 -

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