Semiprime FDI-rings
Nadiya Gubareni
Journal of Applied Mathematics and Computational Mechanics · 2014
doi:10.17512/jamcm.2014.4.07 (opens in a new tab)
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Abstract
In this paper we present some results for FDI-rings, i.e. rings with a complete set of pairwise orthogonal primitive idempotents.We consider the nilpotency index of ideals and give its upper band for ideals in some classes of rings.We also give a new proof of a criterion of semiprime FDI-rings to be prime.
Abstract licence: CC BY-NC-ND
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