# Blog Archives

# Topic Archive: prime radical

CUNY Logic WorkshopFriday, February 19, 20162:00 pmGC 6417

# The definability of radicals in noncommutative rings

College of Staten Island - CUNY

We will survey some results in the definability of radicals in rings, focusing on some recent results about noncommutative rings. In particular, we will show that there is no simple definition of the prime radical in the noncommutative setting, thus differentiating prime radicals in commutative/noncommutative rings.