Split-null extensions of strongly right bounded rings.

Gary F. Birkenmeier

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

On quasi-Frobeniusean and Artinian rings.

Yue Chi Ming, Roger (1983)

Publications de l'Institut Mathématique. Nouvelle Série

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Two new types of rings constructed from quasiprime ideals.

Ghanem, Manal, Al-Ezeh, Hassan (2011)

International Journal of Mathematics and Mathematical Sciences

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Rings with zero intersection property on annihilators: Zip rings.

Carl Faith (1989)

Publicacions Matemàtiques

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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

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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...