FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 4, PAGES 141-144

**Associative rings with large center**

D. V. Zlydnev

Abstract

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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 $\$\; I\; \backslash lhd\; R\; \$$ such that
$I$ is not
a ring with large center.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k114/k11408h.htm

Last modified: July 2, 2012