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