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math.RA2013★ 7 cited
Rings in which every nilpotent is central
Burcu Ungor, Sait Halicioglu, Handan Kose +1
In this paper, we introduce a class of rings in which every nilpotent element is central. This class of rings generalizes so-called reduced rings. A ring is called {\it central…
math.RA2013
Rickart Modules Relative to Goldie Torsion Theory
Burcu Ungor, Sait Halicioglu, Abdullah Harmanci
Let be an arbitrary ring with identity and a right -module with End. Let be the second singular submodule of . In this paper, we define Goldie Ri…