AFFINE SEMIPRIME ALGEBRAS OF GK DIMENSION ONE ARE (STILL) PI
Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 243-247

Voir la notice de l'article provenant de la source Cambridge

DOI

In this note, we give a new proof of the fact that an affine semiprime algebra $R$ of Gelfand-Kirillov dimension 1 satisfies a polynomial identity. Our proof uses only the growth properties of the algebra and yields an explicit upper bound for the pi degree of $R$.
DOI : 10.1017/S0017089503001204
Mots-clés : 16P90, 16R20
PAPPACENA, CHRISTOPHER J.; SMALL, LANCE W.; WALD, JEANNE. AFFINE SEMIPRIME ALGEBRAS OF GK DIMENSION ONE ARE (STILL) PI. Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 243-247. doi: 10.1017/S0017089503001204
@article{10_1017_S0017089503001204,
     author = {PAPPACENA, CHRISTOPHER J. and SMALL, LANCE W. and WALD, JEANNE},
     title = {AFFINE {SEMIPRIME} {ALGEBRAS} {OF} {GK} {DIMENSION} {ONE} {ARE} {(STILL)} {PI}},
     journal = {Glasgow mathematical journal},
     pages = {243--247},
     year = {2003},
     volume = {45},
     number = {2},
     doi = {10.1017/S0017089503001204},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001204/}
}
TY  - JOUR
AU  - PAPPACENA, CHRISTOPHER J.
AU  - SMALL, LANCE W.
AU  - WALD, JEANNE
TI  - AFFINE SEMIPRIME ALGEBRAS OF GK DIMENSION ONE ARE (STILL) PI
JO  - Glasgow mathematical journal
PY  - 2003
SP  - 243
EP  - 247
VL  - 45
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001204/
DO  - 10.1017/S0017089503001204
ID  - 10_1017_S0017089503001204
ER  - 
%0 Journal Article
%A PAPPACENA, CHRISTOPHER J.
%A SMALL, LANCE W.
%A WALD, JEANNE
%T AFFINE SEMIPRIME ALGEBRAS OF GK DIMENSION ONE ARE (STILL) PI
%J Glasgow mathematical journal
%D 2003
%P 243-247
%V 45
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001204/
%R 10.1017/S0017089503001204
%F 10_1017_S0017089503001204

Cité par Sources :