We present the simple notion of coding the product of an algebra in order to construct "canonical" embeddings, by adjuction of an element, of any algebra into a weighted algebra. A description of the possible extensions is given.
@article{1810,
title = {A propos des alg\`ebres pond\'erables},
journal = {CUBO, A Mathematical Journal},
year = {1995},
language = {en},
url = {http://dml.mathdoc.fr/item/1810}
}
Mallol, Cristián. A propos des algèbres pondérables. CUBO, A Mathematical Journal, (1995), . http://gdmltest.u-ga.fr/item/1810/