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most citedRings in which every nilpotent is central

7 citations · 24 across the 13 of their papers we have counts for

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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★ 3 cited

On A Class of Lifting Modules

Hatice Inankil, Sait Halicioglu, A. Harmanci

In this paper, we introduce principally -lifting modules which are analogous to -lifting modules and principally -semiperfect modules as a generalization of -semiperfec…

math.RA2013★ 4 cited

Extended Armendariz Rings

Nazim Agayev, Sait Halicioglu, Abdullah Harmanci

In this note we introduce central linear Armendariz rings as a generalization of Armendariz rings and investigate their properties.

math.RA2013★ 2 cited

Strong -Cleanness of Formal Matrix Rings

Orhan Gurgun, Sait Halıcıoglu, Abdullah Harmanci

An element of a ring is called \emph{strongly -clean} provided that there exists an idempotent such that and . A ring is \emph{strongly…

math.RA2013★ 2 cited

Quasipolarity of Generalized Matrix Rings

Orhan Gurgun, Sait Halicioglu, Abdullah Harmanci

An element of a ring is called \emph{quasipolar} provided that there exists an idempotent such that , and . A ring $R…

math.RA2013★ 1 cited

Quasipolar Subrings of Matrix Rings

Orhan Gurgun, Sait Halicioglu, Abdullah Harmanci

An element of a ring is called \emph{quasipolar} provided that there exists an idempotent such that , and . A ring $R…