Semigroup Rings and Group Rings with Large Center / D. V. Zlydnev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 3. P. 12-16 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 98-101].
A ring R is called a ring with a large center or an IIC-ring if any nonzero ideal of R has a nonzero intersection with the center of R. We consider conditions which guarantee that a semigroup ring over an IIC-ring is an IIC-ring.
Key words: center of ring, IIC-ring, group ring, semigroup ring, nilpotent group.