A Unified approach to the Structure Theory of PI-Rings and GPI-Rings
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 199-210
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
We give short proofs, based only on basic properties of the extended centroid of a prime ring, of Martindale’s theorem on prime GPI-rings and (a strengthened version of) Posner’s theorem on prime PI-rings.
Keywords:
Polynomial Identity, Generalized Polynomial Identity, Functional Identity, Prime, Ring, Extended Centroid, Symmetric Martindale Ring of Quotients
@article{SMJ2_2012_38_1-3_a9,
author = {Bre\v{s}ar, Matej},
title = {A {Unified} approach to the {Structure} {Theory} of {PI-Rings} and {GPI-Rings}},
journal = {Serdica Mathematical Journal},
pages = {199--210},
year = {2012},
volume = {38},
number = {1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a9/}
}
Brešar, Matej. A Unified approach to the Structure Theory of PI-Rings and GPI-Rings. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 199-210. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a9/