Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The prime radical in special Jordan rings
HTML articles powered by AMS MathViewer

by T. S. Erickson and S. Montgomery
Trans. Amer. Math. Soc. 156 (1971), 155-164
DOI: https://doi.org/10.1090/S0002-9947-1971-0274543-4

Abstract:

If R is an associative ring, we consider the special Jordan ring ${R^ + }$, and when R has an involution, the special Jordan ring S of symmetric elements. We first show that the prime radical of R equals the prime radical of ${R^ + }$, and that the prime radical of R intersected with S is the prime radical of S. Next we give an elementary characterization, in terms of the associative structure of R, of primeness of S. Finally, we show that a prime ideal of R intersected with S is a prime Jordan ideal of S.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 17.40, 16.00
  • Retrieve articles in all journals with MSC: 17.40, 16.00
Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 156 (1971), 155-164
  • MSC: Primary 17.40; Secondary 16.00
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0274543-4
  • MathSciNet review: 0274543