Abstract
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.
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E. P. Armendariz, G. F. Birkenmeier, and J. K. Park, “Ideal Intrinsic Extensions with Connections to PI-Rings,” J. Pure and Appl. Algebra 213, 1756 (2009).
A. E. Zalesskii and A. V. Mikhalev, “Group Rings,” in Current Problems in Mathematics, Vol. 2 (Akad. Nauk SSSR, VINITI, Moscow, 1973), pp. 5–118. [J. Soviet Math. 4 (1), 1 (1975)].
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Original Russian Text © D.V. Zlydnev, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 3, pp. 12-16.
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Zlydnev, D.V. Semigroup rings and group rings with large center. Moscow Univ. Math. Bull. 71, 98–101 (2016). https://doi.org/10.3103/S0027132216030025
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DOI: https://doi.org/10.3103/S0027132216030025