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)



Structure of semiprime P.I. rings

Author: Joe W. Fisher
Journal: Proc. Amer. Math. Soc. 39 (1973), 465-467
MSC: Primary 16A12
MathSciNet review: 0320049
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring $ R$ has a unique maximal left quotient ring $ Q$ such that (1) $ Q$ is von Neumann regular with unity and (2) every regular element in $ R$ is invertible in $ Q$.

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

  • [1] I. N. Herstein and Lance W. Small, Regular elements in P.I. rings, Pacific J. Math. 36 (1971), 327-330. MR 43 #7466. MR 0281751 (43:7466)
  • [2] R. E. Johnson, Quotient rings of rings with zero singular ideal, Pacific J. Math. 11 (1961), 1385-1392. MR 26 #1331. MR 0143779 (26:1331)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A12

Retrieve articles in all journals with MSC: 16A12

Additional Information

Keywords: Semiprime P.I. ring, singular ideal, regular element, von Neumann regular maximal quotient ring
Article copyright: © Copyright 1973 American Mathematical Society

American Mathematical Society