Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Normalizing elements in PI rings

Authors: Robert M. Guralnick, J. Chris Robson and Lance W. Small
Journal: Proc. Amer. Math. Soc. 123 (1995), 1955-1957
MSC: Primary 16R20
MathSciNet review: 1301026
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper explores the question: If R is a prime PI ring and a an element such that $aR \supseteq Ra$, is it true that $aR = Ra$?

References [Enhancements On Off] (What's this?)

  • Amiram Braun and L. W. Small, Localization in prime Noetherian p.i. rings, Math. Z. 193 (1986), no. 3, 323–330. MR 862879, DOI
  • P. M. Cohn, Algebra III, Wiley, New York and Chichester, 1991.
  • S. Montgomery, A generalized Picard group for prime rings, Topics in algebra, Part 1 (Warsaw, 1988) Banach Center Publ., vol. 26, PWN, Warsaw, 1990, pp. 55–63. MR 1171225
  • J. C. McConnell and J. C. Robson, Noncommutative Noetherian rings, Pure and Applied Mathematics (New York), John Wiley & Sons, Ltd., Chichester, 1987. With the cooperation of L. W. Small; A Wiley-Interscience Publication. MR 934572

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16R20

Retrieve articles in all journals with MSC: 16R20

Additional Information

Article copyright: © Copyright 1995 American Mathematical Society