Abstract:
Ђ ring $R$ is called a ring with a large center or an IIC-ring if any nonzero ideal of $R$ has nonzero intersection with the center of $R$. We consider conditions under which a semigroup ring over an IIC-ring is an IIC-ring.
Key words:center of ring, IIC-ring, group ring, semigroup ring, nilpotent group.
Fulltext:
PDF file (331 kB)