Displaying similar documents to “Split-null extensions of strongly right bounded rings.”

Rings with zero intersection property on annihilators: Zip rings.

Carl Faith (1989)

Publicacions Matemàtiques


Zelmanowitz [12] introduced the concept of ring, which we call right zip rings, with the defining properties below, which are equivalent: (ZIP 1) If the right anihilator X of a subset X of R is zero, then X1 = 0 for a finite subset X1 ⊆ X. (ZIP 2) If L is a left ideal and if L = 0, then L1 ...

On p -injectivity, YJ-injectivity and quasi-Frobeniusean rings

Roger Yue Chi Ming (2002)

Commentationes Mathematicae Universitatis Carolinae


A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characterized in terms of special annihilators. Quasi-Frobeniusean rings are characterized in terms...

On clean ideals.

Chen, Huanyin, Chen, Miaosen (2003)

International Journal of Mathematics and Mathematical Sciences


Filial rings

Ehrlich, Gertrude (1983-1984)

Portugaliae mathematica