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