Polynomial Identity Generalized Polynomial Identity Functional Identity Prime Ring Extended Centroid Symmetric Martindale Ring of Quotients
Issue Date:
2012
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 38, No 1-3, (2012), 199p-210p
Abstract:
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.