Abstract:
€ ring $R$ is called IIC-ring if any nonzero ideal of $R$ has nonzero intersection with the center of $R$. We consider certain results about rings of quotients of semiprime IIC-rings and show by examples that these properties are not conserved in the case of arbitrary IIC-rings. We prove more general properties of IIC-rings which concern its rings of quotients.
Key words:center of ring, IIC-ring, right-bounded ring, full ring of quotients, symmetric ring of quotients.
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