Advertisement

Journal of Mathematical Sciences

, Volume 191, Issue 5, pp 691–693 | Cite as

Associative rings with large center

  • D. V. Zlydnev
Article
  • 31 Downloads

Abstract

A ring R is called a ring with large center if any nonzero ideal of R has nonzero intersection with the center of R. We give some conditions for an ideal of a ring with large center to be itself a ring with large center, and also we provide an example of a ring with large center R and its ideal IR such that I is not a ring with large center.

Keywords

Russia Basic Element Additive Group Left Part Nonempty Subset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. P. Armendariz, G. F. Birkenmeier, and J. K. Park, “Ideal intrinsic extensions with connections to PI-rings,” J. Pure Appl. Algebra, 213, 1756–1776 (2009).MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

Personalised recommendations