# On one-sided division infinite-dimensional normed real algebras.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 485-488
- ISSN: 0214-1493

## Access Full Article

top## Abstract

top## How to cite

topCuenca Mira, José Antonio. "On one-sided division infinite-dimensional normed real algebras.." Publicacions Matemàtiques 36.2A (1992): 485-488. <http://eudml.org/doc/41731>.

@article{CuencaMira1992,

abstract = {In this note we introduce the concept of Cayley homomorphism which is closely related with those of composition algebra and normalized orthogonal multiplication. The key result shows the existence of certain types of Cayley homomorphisms for infinite dimension. As an application we prove the existence of left division infinite-dimensional complete normed real algebras with left unity.},

author = {Cuenca Mira, José Antonio},

journal = {Publicacions Matemàtiques},

keywords = {composition algebras; absolute valued algebra; symmetric bilinear form; Cayley triad; Cayley homomorphism; left division algebra},

language = {eng},

number = {2A},

pages = {485-488},

title = {On one-sided division infinite-dimensional normed real algebras.},

url = {http://eudml.org/doc/41731},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Cuenca Mira, José Antonio

TI - On one-sided division infinite-dimensional normed real algebras.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 2A

SP - 485

EP - 488

AB - In this note we introduce the concept of Cayley homomorphism which is closely related with those of composition algebra and normalized orthogonal multiplication. The key result shows the existence of certain types of Cayley homomorphisms for infinite dimension. As an application we prove the existence of left division infinite-dimensional complete normed real algebras with left unity.

LA - eng

KW - composition algebras; absolute valued algebra; symmetric bilinear form; Cayley triad; Cayley homomorphism; left division algebra

UR - http://eudml.org/doc/41731

ER -

## Citations in EuDML Documents

top## NotesEmbed ?

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