Geodesic
Rings of quotients for rings with big center
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 25-30 
D. V. Zlydnev. Rings of quotients for rings with big center. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 25-30. http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a3/
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     author = {D. V. Zlydnev},
     title = {Rings of quotients for rings with big center},
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     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Ђ 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.

[1] Rowen L.H., “Some results on the center of a ring with polynomial identity”, Bull. Amer. Math. Soc., 79 (1973), 219–223 | DOI | MR | Zbl

[2] Armendariz E.P., Birkenmeier G.F., Park J.K., “Ideal intrinsic extensions with connections to PI-rings”, J. Pure and Appl. Algebra, 213 (2009), 1756–1776 | DOI | MR | Zbl

[3] Beidar K.I., Martindale W.S., Mikhalev A.V., Rings with generalized identities, Marcel Dekker, N.Y., 1996 | MR | Zbl