Rings of particular rings with a big center / D. V. Zlydnev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 2. P. 25-30 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

А 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.

№ 2/2014