A Unified approach to the Structure Theory of PI-Rings and GPI-Rings

Brešar, Matej

Serdica Mathematical Journal (2012)

  • Volume: 38, Issue: 1-3, page 199-210
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: 16R20, 16R50, 16R60, 16N60.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.* Supported by the Slovenian Research Agency (program No. P1-0288).

How to cite

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Brešar, Matej. "A Unified approach to the Structure Theory of PI-Rings and GPI-Rings." Serdica Mathematical Journal 38.1-3 (2012): 199-210. <http://eudml.org/doc/288277>.

@article{Brešar2012,
abstract = {2010 Mathematics Subject Classification: 16R20, 16R50, 16R60, 16N60.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.* Supported by the Slovenian Research Agency (program No. P1-0288).},
author = {Brešar, Matej},
journal = {Serdica Mathematical Journal},
keywords = {Polynomial Identity; Generalized Polynomial Identity; Functional Identity; Prime; Ring; Extended Centroid; Symmetric Martindale Ring of Quotients},
language = {eng},
number = {1-3},
pages = {199-210},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Unified approach to the Structure Theory of PI-Rings and GPI-Rings},
url = {http://eudml.org/doc/288277},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Brešar, Matej
TI - A Unified approach to the Structure Theory of PI-Rings and GPI-Rings
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 199
EP - 210
AB - 2010 Mathematics Subject Classification: 16R20, 16R50, 16R60, 16N60.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.* Supported by the Slovenian Research Agency (program No. P1-0288).
LA - eng
KW - Polynomial Identity; Generalized Polynomial Identity; Functional Identity; Prime; Ring; Extended Centroid; Symmetric Martindale Ring of Quotients
UR - http://eudml.org/doc/288277
ER -

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